Open Access
January, 2018 On two-weight norm estimates for multilinear fractional maximal function
Benoît Florent SEHBA
J. Math. Soc. Japan 70(1): 71-94 (January, 2018). DOI: 10.2969/jmsj/07017358

Abstract

We prove some Sawyer-type characterizations for multilinear fractional maximal function for the upper triangle case. We also provide some two-weight norm estimates for this operator. As one of the main tools, we use an extension of the usual Carleson Embedding that is an analogue of the P. L. Duren extension of the Carleson Embedding for measures.

Citation

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Benoît Florent SEHBA. "On two-weight norm estimates for multilinear fractional maximal function." J. Math. Soc. Japan 70 (1) 71 - 94, January, 2018. https://doi.org/10.2969/jmsj/07017358

Information

Published: January, 2018
First available in Project Euclid: 26 January 2018

zbMATH: 06859844
MathSciNet: MR3750268
Digital Object Identifier: 10.2969/jmsj/07017358

Subjects:
Primary: 42B25
Secondary: 42B20 , 42B35

Keywords: $A_p$ weight , Carleson embeddings , fractional maximal function

Rights: Copyright © 2018 Mathematical Society of Japan

Vol.70 • No. 1 • January, 2018
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