On the Geometric Mean Operator with Variable Limits of Integration

Vladimir D Stepanov; Elena Ushakova

doi:10.1134/S0081543808010185

On the Geometric Mean Operator with Variable Limits of Integration

Vladimir D Stepanov, Elena Ushakova

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A new criterion for the weighted Lp–Lq boundedness of the Hardy operator with
two variable limits of integration is obtained. This criterion
is applied to the characterization of the weighted Lp–Lq boundedness of the corresponding geometric mean operator.

Original language	English
Pages (from-to)	254–278
Number of pages	25
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	260
Issue number	1
DOIs	https://doi.org/10.1134/S0081543808010185
Publication status	Published - Apr 2008

Keywords

Analysis

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abstract = "A new criterion for the weighted Lp–Lq boundedness of the Hardy operator with two variable limits of integration is obtained. This criterion is applied to the characterization of the weighted Lp–Lq boundedness of the corresponding geometric mean operator.",

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JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

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On the Geometric Mean Operator with Variable Limits of Integration

Abstract

Keywords

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