奇异偏微分算子相关的广义Hardy和BMO空间的对偶性

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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