Fractional integrals on spaces of homogeneous type

DOI10.1007/BF02771082zbMath0917.42019MaRDI QIDQ1288905

Vagif S. Guliyev, Rza Ch. Mustafayev

Publication date: 18 May 1999

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

singular integralsspaces of homogeneous type

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85)

Related Items (23)

A regularity criterion for 3D NSE in ‘dynamically restricted’ local Morrey spaces ⋮ On the boundedness of a \(B\)-Riesz potential in the generalized weighted \(B\)-Morrey spaces ⋮ Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces ⋮ Boundedness of the fractional maximal operator in generalized Morrey space on the Heisenberg group ⋮ Riesz potential in generalized Morrey spaces on the Heisenberg group ⋮ Boundedness of the potential operators and their commutators in the local ``complementary generalized variable exponent Morrey spaces on unbounded sets ⋮ Decompositions of local Morrey-type spaces ⋮ Bourgain-Morrey spaces meet structure of Triebel-Lizorkin spaces ⋮ Some estimates of rough bilinear fractional integral ⋮ Fractional maximal operator in the local Morrey-Lorentz spaces and some applications ⋮ Boundedness of the Riesz potential in local Morrey-type spaces ⋮ Boundedness of sublinear operators and their commutators on generalized central Morrey spaces ⋮ Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces ⋮ Maximal and singular operators in the local “complementary” generalized variable exponent Morrey spaces on unbounded sets ⋮ Unnamed Item ⋮ Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces ⋮ Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces ⋮ Boundedness of the fractional maximal operator in local Morrey-type spaces ⋮ A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type ⋮ Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball ⋮ Unnamed Item

Cites Work

• Stone Duality for Nominal Boolean Algebras with И
• Hardy Inequalities with Mixed Norms
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hardy's inequality with weights
• A fundamental solution for a subelliptic operator
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