Asymmetry of maximal functions on the affine group of the line (Q756072)
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scientific article; zbMATH DE number 4190402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymmetry of maximal functions on the affine group of the line |
scientific article; zbMATH DE number 4190402 |
Statements
Asymmetry of maximal functions on the affine group of the line (English)
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1990
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``In this paper we study weak type (1,1) and strong type (p,p), \(1<p<\infty\), boundedness of certain Hardy-Littlewood maximal function operators. These are generated by taking the maximal averages over left- (resp. right-) translates of various families of neighborhoods of the identity in the \(AX+B\) group of the line, \(A>0.''\) The left- and the right-invariant maximal oprators are quite different as to boundedness and the paper consists in unravelling this difference, or asymmetry.
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boundedness
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Hardy-Littlewood maximal function
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maximal oprators
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