Some Estimates of Bilinear Hausdorff Operators on Stratified Groups

Some Estimates of Bilinear Hausdorff Operators on Stratified Groups

Year:    2020

Author:    Qi Zhang, Jiman Zhao

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 2 : pp. 200–216

Abstract

In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2019-0034

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 2 : pp. 200–216

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Stratified group Hausdorff operator bilinear sharp estimate weighted Lebesgue space Morrey space.

Author Details

Qi Zhang

Jiman Zhao

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