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Strong and Weak Type Estimates for Singular Integrals with Respect to Measures Separated by AD-regular Boundaries - MaRDI portal

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Strong and Weak Type Estimates for Singular Integrals with Respect to Measures Separated by AD-regular Boundaries

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Publication:2935165

DOI10.1093/IMRN/RNT160zbMATH Open1304.42032arXiv1301.2529OpenAlexW2964302108MaRDI QIDQ2935165

Author name not available (Why is that?)

Publication date: 22 December 2014

Published in: (Search for Journal in Brave)

Abstract: We prove weak and strong boundedness estimates for singular integrals in Rd with respect to (d−1)-dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calder'on-Zygmund decompositions which can be also used to extend a result of David.


Full work available at URL: https://arxiv.org/abs/1301.2529



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