马氏哈代洛伦兹汞齐空间的原子分解及其应用

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI:10.1007/s10474-024-01422-1

L. Li, Y. Wang, A. Yang

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引用次数: 0

摘要

我们在洛伦兹汞齐空间的框架内发展了马氏理论。我们建立了鞅哈代洛伦兹汞齐空间的原子分解。作为原子分解的应用，我们描述了鞅哈代洛伦兹汞齐空间的对偶空间。此外，当随机基础是正则时，证明了鞅Hardy Lorentz汞齐空间上分数积分的有界性。这里获得的结果概括了在鞅Hardy汞齐空间和各种经典鞅Hardy空间中的相应已知结果。

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Atomic decompositions of martingale Hardy Lorentz amalgam spaces and applications

We develop the martingale theory in the framework of Lorentz amalgam spaces. Atomic decompositions for the martingale Hardy Lorentz amalgam spaces are established. As applications of atomic decompositions, the dual spaces of the martingale Hardy Lorentz amalgam spaces are characterized. Furthermore, when the stochastic basis is regular, the boundedness of the fractional integrals on martingale Hardy Lorentz amalgam spaces is proved. The results obtained here generalized the corresponding known results in martingale Hardy amalgam spaces and various classical martingale Hardy spaces.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.