Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces

Pub Date : 2023-12-01 DOI:10.1134/s008154382305005x
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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。
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