Two weight Sobolev norm inequalities for smooth Calderón-Zygmund operators and doubling weights

DOI10.1007/S00209-023-03220-XOpenAlexW4322500383MaRDI QIDQ2687013

Eric T. Sawyer, Brett D. Wick

Publication date: 1 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14684

zbMATH Keywords

weighted Sobolev spacedoubling measure\(\alpha\)-fractional singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38)

Cites Work

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• A two weight theorem for \(\alpha\)-fractional singular integrals with an energy side condition
• Two-weight inequality for the Hilbert transform: a real variable characterization. I
• Two-weight inequality for the Hilbert transform: a real variable characterization. II
• Haar projection numbers and failure of unconditional convergence in Sobolev spaces
• Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
• A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications
• A two weight local \(Tb\) theorem for the Hilbert transform
• A \(T1\) theorem for general Calderón-Zygmund operators with comparable doubling weights, and optimal cancellation conditions
• Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces

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