A + ∞ Condition

A + ∞ Condition
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DOI:
10.4153/cjm-1993-069-9
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发表时间:
1993-12
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
F. J. Martín-Reyes;L. Pick;A. De La Torre
F. J. Martín-Reyes;L. Pick;A. De La Torre
中科院分区:
其他
文献类型:
--
作者:
F. J. Martín-Reyes;L. Pick;A. De La Torre

文献摘要

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摘要利用条件刻画了单侧Hardy-Littlewood算子的良权。本文引入了一个类似于A-∞的新条件。我们给出了的几个特征。例如,我们证明了权的类是类的并。我们还给出了权的一个新的刻画。最后,作为条件的应用,我们刻画了单边分数次积分和单边分数次极大算子的权重。
Abstract The good weights for the one-sided Hardy-Littlewood operators have been characterized by conditions . In this paper we introduce a new condition which is analogous to A∞. We show several characterizations of . For example, we prove that the class of weights is the union of classes. We also give a new characterization of weights. Finally, as an application of condition, we characterize the weights for one-sided fractional integrals and one-sided fractional maximal operators.