Boundedness on inhomogeneous Lipschitz spaces of fractional integrals singular integrals and hypersingular integrals associated to non-doubling measures

DOI10.1007/BF03191219zbMath1196.42013arXiv0809.3457OpenAlexW1990100883MaRDI QIDQ1022280

A. Eduardo Gatto

Publication date: 10 June 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3457

zbMATH Keywords

singular integralsnon-doubling measureshypersingular integralsFractional integrals``T1 type theorems

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10)

Related Items (8)

Calderón–Zygmund operators on RBMO ⋮ Integral operators in Hölder spaces on upper Ahlfors regular sets ⋮ Classes of kernels and continuity properties of the double layer potential in Hölder spaces ⋮ Boundary regularity of rotating vortex patches ⋮ Unnamed Item ⋮ Singular integrals in nonhomogeneous spaces: \(L^2\) and \(L^p\) continuity from Hölder estimates ⋮ Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings ⋮ Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
• On the boundedness of singular integrals
• Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures
• Application of a Theorem of M. G. Krein to Singular Integrals
• Boundedness properties of fractional integral operators associated to non-doubling measures
• On multipliers preserving convergence of trigonometric series almost everywhere

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