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Some Aspects of B-Harmonic Analysis

  • Vagif S. Guliev
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 8)

Abstract

In this work we introduce and investigate the function spaces, integral operators, generated by the Bessel differential operators, Bessel shift operators and Bessel transformations. We investigate also the boundedness of anisotropic B-maximal functions M B and the anisotropic B-Riesz potentials R B α on the anisotropic B-Morrey spaces L p,λ,α γ , B- BMO spaces BMO γ,α . Note that, the isotropic Hardy-Littlewood-Bessel maximal functions (B-maximal functions), Morrey-Bessel (B-Morrey) and BMO-Bessel (B-BMO) spaces were introduced and studied in [1]. We study also the anisotropic Riesz-Bessel potential (B-potential) in the anisotropic Morrey-Bessel and the anisotropic BMO-Bessel spaces. We obtain a theorem analogous to the Sobolev theorem, for the anisotropic Riesz-Bessel potential in anisotropic Morrey-Bessel spaces (see [2]).

Keywords

Integral Operator Maximal Function Homogeneous Type Bessel Potential Finite Norm 
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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Vagif S. Guliev
    • 1
  1. 1.Faculty of Mechanics and MathematicsBaku State UniversityBakuAzerbaijan

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