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Best Constants in Weighted Estimates for Dyadic Shifts

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Abstract

We identify the weighted \(L^p\)-norms of shift operators in the context of nonatomic probability spaces equipped with tree-like structures.

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Acknowledgements

The author would like to thank an anonymous Referee for the careful reading of the paper and several helpful suggestions.

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  1. Department of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Adam Osękowski

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  1. Adam Osękowski
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Correspondence to Adam Osękowski.

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This work was supported by NCN Grant DEC-2014/14/E/ST1/00532.

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Osękowski, A. Best Constants in Weighted Estimates for Dyadic Shifts. Integr. Equ. Oper. Theory 93, 4 (2021). https://doi.org/10.1007/s00020-020-02614-4

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  • DOI: https://doi.org/10.1007/s00020-020-02614-4

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