Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI:10.1134/s008154382305005x

引用次数: 0

Abstract

We prove analogs of Bernstein’s inequalities and inequalities of different metrics and different dimensions for entire functions of exponential type. Such inequalities are well known for Lebesgue spaces. In this paper we prove them for Morrey spaces.

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莫雷空间中指数型全函数的积分不等式

摘要我们证明了指数型全函数的伯恩斯坦不等式以及不同度量和不同维度的不等式的相似性。这些不等式对于 Lebesgue 空间是众所周知的。本文将证明这些不等式在莫雷空间中的应用。

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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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.