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Endpoint Estimates for Hardy Operator’s Conjugate Operator with Power Weight on n-Dimensional Space

Endpoint Estimates for Hardy Operator’s Conjugate Operator with Power Weight on $n$-Dimensional Space

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 267–274

Abstract

In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from L1xα(Gn) to Lqxβ(Gn) with the bound explicitly worked out and the similar result holds for Hn.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n3.6

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 267–274

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Conjugate operator power weight endpoint estimate.