Abstract

The article is devoted to integral operators for nonlocally compact group modules. Operator valued functions for nonlocally compact groups and their normed spaces of different types are investigated. For this purpose quasi-invariant measures on nonlocally compact groups are used. Estimates of norms of integral operators are given. Moreover, convolutions of functions having operator values and values in Banach spaces are scrutinized. Examples are given.

中文翻译：

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非局部紧群模块的积分算子

摘要

本文专门讨论非局部紧群模块的积分运算符。研究了非局部紧群的算子值函数及其不同类型的范数空间。为此目的，对非局部紧群使用准不变测度。给出了积分算子范数的估计。此外，还仔细检查了具有算子值和 Banach 空间中的值的函数的卷积。给出了例子。