Natasha Samko home page  >  Recent Publications

• book: Kufner A., Persson L.-E., Samko, N., Weighted inequalities of Hardy type. Second Edition, World Scientific. (2017):459 pp.
  
  
• N. Samko and H. Singh. A note on contributions concerning non-separable spaces with respect to signal processing within Bayesian frameworks. To appear in Math. Methods Appl. Sci..
  
  
• N. Samko. Weighted boundedness of certain sublinear operators in generalized Morrey spaces on quasi-metric measure spaces under the growth condition. To appear in J. Fourier Anal. Appl.
  
  
• N. Samko. Weighted Fractional Hardy Operators and Their Commutators on Generalized Morrey Spaces over Quasi-Metric Measure Spaces. Fract. Calc. Appl. Anal. 24 (6), 1643-1669, 2021, DOI: 10.1515/fca-2021-0071.
  
  
• A. Kufner, L.E. Persson and N. Samko. On Weighted Fourier Inequalities -- Some New Scales of Equivalent Conditions. J. Math. Inequal. 15 (2), 879-898, 2021, dx.doi.org/10.7153/jmi-2021-15-61.
  
  
• N. Samko. Integrability properties of integral transforms via Morrey spaces. Fract. Calc. Appl. Anal. 23 (2020), no. 5, 1274-1299.
  
  
• N. Samko. Integral operators commuting with dilations and rotations in generalized Morrey-type spaces. Math. Methods Appl. Sci. 43 (2020), no. 16, 9416-9434.
  
  
• L. Nikolova, L.E. Persson and N.Samko. Some new inequalities involving the Hardy operator. Math. Nachr. 293 (2020), no. 2, 376-385.
  
  
• N Samko. Embeddings of weighted Generalized Morrey Spaces in to Lebesgue Spaces on fractal sets. Fract. Calc. Appl. Anal. 22 (2019), no. 5, 1203-1224.
  
  
• P.L. Lions, N. Samko, S. Sivasundaram, Special issue on harmonic analysis, applied mathematics and engineering problems. Nonlinear Stud. 26 (2019), no. 4, 703-706.
  
  
• N. Samko, et al. Necessary and sufficient conditions for the boundedness of weighted Hardy operators in Holder spaces. Math. Nachr. 291(11-12),1655-1665, 2018.
  
  
• N. Samko, et al. Multi-dimensional Hardy type inequalities in Holder spaces. J. Math. Inequal., 12 (3), 719-729, 2018.
  
  
• N. Samko. Commutators with Coefficients in CMO of Weighted Hardy Operators in Generalized Local Morrey Spaces. Mediterr. J. Math. (2017), no 2, 14:64.
  
  
• N Samko, et al. On weighted generalized fractional and Hardy-type operators acting between Morrey-type spaces . Fract. Calc. Appl. Anal. 20(6), 1545-1566, 2017.
  
  
• A. Kufner, L.E.Persson and N.Samko. Hardy type inequalities with kernels: the current status and some new results. Math. Nachr. 290(2017), no 1, 57-65.
  
  
• S. Lundberg and N. Samko. On some hyperbolic type equations and weighted anisotropic Hardy operators. Mathematical Methods in the Applied Sciences. 40(2017), no 5, 1414-1421.
  
  
• N.Samko, et al. Weighted Adams type theorem for the Riesz fractional integral in generalized Morrey space. Fract. Calc. Appl. Anal. 19 (2016), no. 4, 954-972.
  
  
• N.Samko, et al. Calderon-Zygmund Type Singular Operators in Weighted Generalized Morrey Spaces. J. Fourier Anal. Appl. 22 (2016), no. 2, 413-426.
  
  
• Lukkassen, D., Persson, L-E, Samko, N. Hardy type operators in local vanishing Morrey spaces on fractal sets. Fract. Calc. Appl. Anal. 18, 2015, no. 5, 1252-1276.
  
  
• Abramovich, S.; Persson, L.-E.; Samko, N. On γ -quasiconvexity, super-quadracity and two-sided reversed Jensen type inequalities. Math. Inequal. Appl. 18, 2015, no. 2, 615-628.
  
  
• N. Samko. On two-weight estimates for the maximal operator in local Morrey spaces. Internat. J. Math. 25, 2014, no. 11, 1450099, 8 pp.
  
  
• J.A. Oguntuase, L.E. Persson and N. Samko "Some Hardy type inequalities with "broken" exponent p, J. Math. Inequal. Appl., Vol.8, n.3, 405-416, 2014.
  
  
• Sh. Abramovich, L.E. Persson and N. Samko. "Some new scales of refined Jensen and Hardy type inequalities", Math. Inequal. Appl., Vol.17, n.3, 1105-1114, 2014.
  
  
• J.A. Oguntuase, L.E. Persson, N. Samko and A. Sonubi. On the equivalence between some multidimensional Hardy-type inequalities, Banach J. Math. Anal. Vol. 8, no. 1, 2014, 1 -13.
  
  
• S. Barza, L.E. Persson and N. Samko, Some new sharp limit Hardy-type inequalities via convexity, J. Inequal. Appl., 2014(1), 6. Springer Open, DOI: 10.1186/10.1186/1029-242X-2014-6.
  
  
• L.E.Persson and N.Samko. "Inequalities and convexity", Operator Theory, Operator Algebras and Applications, Vol. 242, 2014, 279-306.
  
  
• A.Kufner, L-E.Persson and N.Samko. Some new scales of weight haracterizations of Hardy-type inequalities, "Operator Theory, PDE and Mathematical Physics” Vol. 228, 261-274, 2013.
  
  
• N. Samko. On a Muckenhoupt-type condition for Morrey spaces, Mediterr. J. Math., Vol. 10, Issue 2, 941-951, 2013.
  
  
• N. Samko. Weighted Hardy operators in the local generalized vanishing Morrey Spaces, Positivity, Vol.17, Issue 3, 2013, 683-706.
  
  
• N. Samko. Maximal, Potential and Singular Operators in Vanishing generalized Morrey Spaces, J Glob Optim, Vol. 57, no. 4, 1385-1399, 2013.
  
  
• N. Samko. Weighted Hardy and potential operators in Morrey spaces. J. Function Spaces Appl. , Vol. 2012, Art. 1D678171, 21pp., 2012.
  
  
• L.E.Persson, N.Samko et al. Quasi-monotone weight functions and their characteristics and applications. Math. Inequal. Appl., Vol. 15, no. 3, 685-705, 2012.
  
  
• L.E.Persson and N.Samko. "What should have happened if Hardy had discovered this?", J. Inequal. Appl. 2012:29, Springer Open, 2012.
  
  
• D. Lukkassen, A.Meidell, L-E.Persson and N.Samko. Hardy and singular operators in weighted generalized Morrey spaces with applications to singular integral equations. Mathematical Methods in the Applied Sciences, Vol. 35, Issue 11, 1300-1311, 2012.
  
  
• N.Samko. Weighted Hardy and potential operators in Morrey spaces. J. Function Spaces and Appl. , vol. 2012, Art. 1D678171, 21pp., 2012.
  
  
• L-E.Persson and N.Samko. Weighted Hardy and potential operators in the generalized Morrey spaces, J. Math. Anal. Appl. 377 (2011) 792–806.
  
  
• N.Samko, B.Vakulov. Spherical fractional integrals and hypersingular integrals of variable order in generalized Holder spaces with variable characteristic, Math. Nachr. 284, No. 2–3, 355 – 369 (2011).
  
  
• V. Vakulov, E.Kochurov and N.Samko. Operators of fractional integration and differentiation of variable order in Holder spaces H^ω(t,x). Izv. Vuzov, Matematica, 2011, No 6.
  
  
• N.Samko, S.Samko, B.Vakulov. Fractional integrals and hypersingular integrals in variable order Holder spaces on homogeneous spaces. J. Function Spaces and Appl., Volume 8 (2010), Issue 3, pp. 215-244.
  
  
• L-E.Persson and N.Samko. Quasi-monotone weight functions and their applications, AIP (American Institute of Physics), Vol.1281 (2010), pp.502-506.
  
  
• L-E.Persson and N.Samko. Singular integral equations in generalized weighted Morrey spaces, AIP (American Institute of Physics), Vol.1281 (2010), pp. 498-502.
  
  
• L.E.Persson, N.Samko. Some remarks and new developments concerning Hardy-type inequalities. Rendiconti del circolo matematico di Palermo, Serie II, Suppl. 82 (2010), pp. 93-122.
  
  
• N. Samko, S. Samko and B. Vakulov. Weighted Sobolev theorem in Lebesgue spaces with variable exponent; corrigendum, J. Arm. Math., Vol. 3 (2010), Issue 2, pp. 92-97.
  
  
• N.Samko. Note on Matuzsewska-Orlich indices and Zygmund inequalities. Arm. J.Math. Volume 3 (2010), Issue 1, pp. 22-31.
  
  
• N.Samko. Singular integral equations in Morrey spaces. Seventh International Conference on Math. Problems in Engineering and Aerospace Sciences, (Ed. Seenith Sivasundaran), Cambridge Sci. Publ., 2009, 867-876.
  
  
• N.Samko. Upper and lower indices of a certain class of monotonic functions in connection with Fredholmness of singular integral operators. In “More Progresses in Analysis”, Proceed. of 5th Congress of ISAAC, Catania, World Scientific, 2009, 369-376
  
  
• N.Samko. Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces, J. Function Spaces and Appl., Vol.7, No 1 (2009), 61-89.
  
  
• N.Samko. Weighted Hardy and singular operators in Morrey spaces. JMAA, (2008), doi:10.1016/j.jmaa.2008.09.021, J. Math. Anal. Appl. 350 (2009) 56-72.
  
  
• N.Samko. Fredholmness of singular integral operators in weighted Morrey spaces. Proc. A.Razmadze Math. Inst., Vol.148, 51-68 (2008).
  
  
• N.Samko. Parameter Depending Matuszewska-Orlicz Type Indices and their applications. AIP (American Institute of Physics), Selected papers from ICNAAM-2007 and ICCMSE-2007. Vol. 1046, 126-129, 2008.
  
  
• N.Samko, B.Vakulov. On generalized spherical fractional integration operators in weighted generalized Holder spaces on the unit sphere. Operator Theory: Adv. And Appl., vol. 181, 429-437, 2008.
  
  
• N.Samko. Parameter depending Bary-Stechkin classes and local dimensions of measure metric spaces. Proc. A.Razmadze Math. Inst., 145 (2007), 122-129.
  
  
• N.Samko, S.Samko and B.Vakulov. Weighted Sobolev theorem in Lebesgue spaces with variable exponent, J. Math. Anal. & Appl., 2007, vol. 335, No 1, 560-583
  
  
• N.Samko. Solutions of Singular Integral Equations in Function Spaces of Continuous Functions with Weights at End Points. Sixth International Conference on Math. Problems in Engineering and Aerospace Sciences, (Ed. Seenith Sivasundaran), Cambridge Sci. Publ., 2007, 687-694.
  
  
• N.Samko, B.Vakulov. Spherical potentials of complex order in weighted generalized Holder spaces with radial oscillating weights. Operators and Matrices, 2007, vol.1, no 2, 283-300.
  
  
• V.Kokilashvili, N.Samko and S.Samko. The Maximal Operator in Weighted Variable Spaces L^p(.), J. Function Spaces and Appl., 2007, vol.5, No 3, 299-317.
  
  
• V.Kokilashvili, N.Samko and S.Samko. Singular operators in variable spaces L^p(.)(Ω,ρ) with oscillating weights, Math. Nachrichten, 2007, vol. 280, No 9-10, 1145-1156.
  
  
• N.G.Samko. Singular Integral Operators in Weighted Spaces of Continuous Functions with Oscillating Continuity Moduli and Oscillating Weights, "The Extended Field of Operator Theory", Operator Theory: Advances and Application, Birkhauser, 2007, vol. 151, 323-347.
  
  
• V. Kokilashvili, N. Samko and S. Samko. Boundedness of the generalized singular operator on Carleson curves in weighted variable Lebesgue spaces. Proc. A. Razmadze Math. Inst., 2006, vol. 142, 138-142.
  
  
• N.Samko. Singular Integral Operators in Weighted Spaces of Continuous Functions with Non-equilibrated Continuity Modulus, Mathematische Nachrichten, V. 279, No 12, 2006, 1359-1375.
  
  
• V.Rabinovich, N.Samko and S.Samko. Local Fredholm spectrums and Fredholm properties of singular integral operators on Carleson curves acting on weighted Holder spaces, Integr. Eq. Oper. Theory, 2006, V.56, No 2, 257-283.
  
  
• N.Samko. On non-equilibrated almost monotonic functions of the Zygmund-Bari-Stechkin class, Real Analysis Exchange, V. 30, 2005, No 2, 727-746.
  
  
• N.Samko. Singular Integral Operators with Carleman Shift and Discontinuous Coefficients in the spaces H^ω₀(Γ, ρ), Integr. Eq. and Oper. Theory, V. 51, 2005, No 3, 417 - 433.
  
  
• N.K.Karapetyants and N.G. Samko. Weighted theorems on fractional integrals in the generalized Holder spaces H₀^ω(ρ) via the indices m_ω and M_ω, Fract. Calc. Appl. Anal., V. 7, 2004, No 4, 437-458.
  
  
• N.G.Samko. On compactness of integral operators with a generalized weak singularity in weighted spaces of continuous functions with a given continuity modulus, Proc. Razmadze Math. Inst, V. 136, 2004, 91-113.
  
  
• N.Samko. Criterion of Fredholmness of singular operators with piece-wise continuous coefficients in the generalized Holder spaces with weight. Proceedings of the conference IWOTA-2000, Faro, September 12-15, 2000, Operat. Theory: Adv. and Applic. Vol. 142, 2003, 345-356.
  
  

Natasha Samko home page  >  Publications