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BOUNDEDNESS OF VECTOR-VALUED CALDERON-ZYGMUND OPERATORS ON HERZ SPACES WITH NON-DOUBLING MEASURES

Baode, Li, Yinsheng, Jiang, Hui Hui, Cao

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Abstract

在纸,我们为 Calderon-Zygmundoperator 获得珍视向量的不平等,简单地在 Herz 空间的 CZO 和弱 Herz 空间。特别地,我们在 L~q 上为 CZO 获得 vector-valuedinequalities ( R~d ,|x|~α d μ)空间与 1 < q < ∞, -n < α < n ( q - 1 ),并且onL~( 1 ,∞)( R~d ,|x|~α d μ)空间,与 -n < α < 0 。

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What this paper is about

在纸,我们为 Calderon-Zygmundoperator 获得珍视向量的不平等,简单地在 Herz 空间的 CZO 和弱 Herz 空间。特别地,我们在 L~q 上为 CZO 获得 vector-valuedinequalities ( R~d ,|x|~α d μ)空间与 1 < q < ∞, -n < α < n ( q - 1 ),并且onL~( 1 ,∞)( R~d ,|x|~α d μ)空间,与 -n < α < 0 。

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Available abstract

在纸,我们为 Calderon-Zygmundoperator 获得珍视向量的不平等,简单地在 Herz 空间的 CZO 和弱 Herz 空间。特别地,我们在 L~q 上为 CZO 获得 vector-valuedinequalities ( R~d ,|x|~α d μ)空间与 1 < q < ∞, -n < α < n ( q - 1 ),并且onL~( 1 ,∞)( R~d ,|x|~α d μ)空间,与 -n < α < 0 。

Key concepts: Mathematics, Pure mathematics, Combinatorics

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