勒贝格空间述评

Q4 Mathematics AIUB Journal of Science and Engineering Pub Date : 2021-12-31 DOI:10.3126/jsce.v9i9.46293

Santosh Ghimire, Bimala Mishra

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引用次数: 0

摘要

本文从p为常数的经典勒贝格空间Lp入手，讨论了该空间的完备性和对偶性等性质。为此，我们还讨论了Hardy-Littlewood极大函数的有界性及其在此类空间上的插值问题。最后，我们将注意力集中在变指数勒贝格空间上，并回顾了关于它的各种研究成果。此外，我们也看到了勒贝格空间之间的差异。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Review on the Lebesgue Spaces

In this article, we begin with classical Lebesgue spaces Lp with p being constant and review the various properties such as completeness and duality of the space. To this end, we also discuss the boundedness of Hardy-Littlewood maximal function and interpolation on such spaces. Finally, we focus our attention on variable exponent Lebesgue spaces and review various results on it. Moreover, we also see the differences in between these Lebesgue spaces.

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来源期刊

AIUB Journal of Science and Engineering Mathematics-Mathematics (miscellaneous)

CiteScore

1.00

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0.00%

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