The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem-Reference-Cited by-同舟云学术

The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem

Published:2022-03-01 Issue:3 Volume:34 Page:781-792
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Nikolidakis Eleftherios¹

Affiliation:

1. Department of Mathematics , Panepistimioupolis, University of Ioannina , Ioannina 45110 , Greece

Abstract

Abstract We provide an alternative proof and expression of the Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem, which appears in [A. D. Melas, The Bellman functions of dyadic-like maximal operators and related inequalities, Adv. Math. 192 2005, 2, 310–340]. We also evaluate the Bellman function of four variables of the dyadic maximal operator.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2021-0194/pdf

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