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On $$A_p$$ A p – $$A_\infty $$ A ∞ type estimates for square functions

On $$A_p$$ A p – $$A_\infty $$ A ∞ type estimates for square functions We prove strong-type $$A_p$$ A p – $$A_\infty $$ A ∞ estimate for square functions, improving on the $$A_p$$ A p bound due to Lerner. Entropy bounds, in the recent innovation of Treil–Volberg, are then proved. The techniques of proof include parallel stopping cubes, pigeon-hole arguments, and the approach to entropy bounds of Lacey–Spencer. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

On $$A_p$$ A p – $$A_\infty $$ A ∞ type estimates for square functions

Mathematische Zeitschrift , Volume 284 (4) – May 20, 2016

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-016-1696-8
Publisher site
See Article on Publisher Site

Abstract

We prove strong-type $$A_p$$ A p – $$A_\infty $$ A ∞ estimate for square functions, improving on the $$A_p$$ A p bound due to Lerner. Entropy bounds, in the recent innovation of Treil–Volberg, are then proved. The techniques of proof include parallel stopping cubes, pigeon-hole arguments, and the approach to entropy bounds of Lacey–Spencer.

Journal

Mathematische ZeitschriftSpringer Journals

Published: May 20, 2016

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