Embeddings Between weighted local Morrey-type spaces

TL;DR

This paper characterizes embeddings between weighted local Morrey-type spaces by reducing multidimensional inequalities to one-dimensional cases, providing a clearer understanding of these functional space relationships.

Contribution

It introduces a method to analyze embeddings between weighted local Morrey-type spaces through dimensional reduction, offering new characterizations for specific parameter ranges.

Findings

Embeddings characterized for certain parameter ranges.

Multidimensional inequalities reduced to one-dimensional cases.

Provides new criteria for space embeddings.

Abstract

In this paper certain $n$-dimensional inequalities are shown to be equivalent to the inequalities in the one-dimensional setting. By this means, embeddings between weighted local Morrey-type spaces are characterized for some ranges of parameters.