奇异偏微分算子相关的广义Hardy和BMO空间的对偶性

IF 0.6 4区数学 Q3 MATHEMATICS

Operators and Matrices Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-09

A. Ghandouri, H. Mejjaoli, S. Omri

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引用次数: 0

摘要

．首先，我们定义并研究了与Riemann-Liouville算子R α相关的广义有界平均振荡空间B mo α。然后证明了B mo α与广义Hardy空间h1 α与R α的对偶性。数学学科分类(2020):30H10、30H35、42A38。

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Duality of generalized Hardy and BMO spaces associated with singular partial differential operator

. First we de ﬁ ne and study the generalized bounded mean ossilation space B mo α associated with the Riemann-Liouville operator R α . Next we prove the duality between B mo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classi ﬁ cation (2020): 30H10, 30H35, 42A38.

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来源期刊

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

期刊介绍： ''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews. ''OaM'' is published quarterly, in March, June, September and December.