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Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund Operators

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Methods of Fourier Analysis and Approximation Theory

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

We prove several off-diagonal and pointwise estimates for singular integral operators that extend compactly on \(L^{p}(\mathbb{R}^{n})\).

Mathematics Subject Classification (2010). Primary 42B20, 42C40; Secondary 47B07, 47G10

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Acknowledgements

This work was completed with the support of Spanish project MTM2011-23164.

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Authors and Affiliations

  1. Centre for Mathematical Sciences, University of Lund, Lund, Sweden

    Paco Villarroya

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  1. Paco Villarroya
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Correspondence to Paco Villarroya .

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Editors and Affiliations

  1. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

  2. ICREA Research Professor, Centre de Recerca Matemàtica, Barcelona, Spain

    Sergey Tikhonov

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Villarroya, P. (2016). Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund Operators. In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_7

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