On the Geometric Mean Operator with Variable Limits of Integration

Vladimir D Stepanov, Elena Ushakova

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)254–278
Number of pages25
JournalProceedings of the Steklov Institute of Mathematics
Issue number1
Publication statusPublished - Apr 2008


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