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2013•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

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

Xudong, Nie, Shimo, Wang, Dunyan, Yan

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Abstract

In this paper, we establish two integral inequalities for Hardy operator’s conjugate operator at the endpoint on n-dimensional space. The operator H n is bounded from L1 xα(Gn) to Lq xβ(Gn) with the bound explicitly worked out and the similar result holds forH n.

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What this paper is about

In this paper, we establish two integral inequalities for Hardy operator’s conjugate operator at the endpoint on n-dimensional space. The operator H n is bounded from L1 xα(Gn) to Lq xβ(Gn) with the bound explicitly worked out and the similar result holds forH n.

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Available abstract

In this paper, we establish two integral inequalities for Hardy operator’s conjugate operator at the endpoint on n-dimensional space. The operator H n is bounded from L1 xα(Gn) to Lq xβ(Gn) with the bound explicitly worked out and the similar result holds forH n.

Key concepts: Mathematics, Operator (biology), Multiplication operator, Bounded function, Bounded operator, Conjugate, Compact operator, Shift operator

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