Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen

Mohamad Abdul Ba'is, Hairur Rahman, Erna Herawati
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Abstract

Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.
Hӧlder不等式是泛函分析中的一个基本不等式。用来证明其他不等式的不等式。本文研究了Hӧlder不等式在变指数Lebesgue空间和变指数Morrey空间中的应用。由于变指数Lebesgue空间和变指数Morrey空间都是函数空间,所以使用积分Hӧlder不等式。根据函数的范数及其特征,研究了变指数Lebesgue空间和变指数Morrey空间中Hӧlder不等式存在的充分条件。
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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