Multidimensional Dilation Operators, Boyd and Shimogaki Indices of Bilateral Weight Grand Lebesque Spaces

TL;DR

This paper computes the norms of dilation operators and indices in Bilateral Grand Lebesgue Spaces, providing insights into their structure and potential applications in analysis.

Contribution

It introduces explicit calculations of dilation operator norms and indices in Bilateral Grand Lebesgue Spaces, expanding understanding of these spaces.

Findings

Explicit formulas for dilation operator norms.

Computed Boyd and Shimogaki indices for Bilateral Grand Lebesgue Spaces.

Potential applications in functional analysis and operator theory.

Abstract

In this paper we compute the norm of dilation operators, multidimensional Boyd`s and Shimogaki`s indices in the Bilateral Grand Lebesgue Spaces and consider some applications.