Composition operators on Sobolev spaces with a metric measure space as a domain. II

Q: What type of study is this?

This is a Quantitative Study study.

D. A. Sboev; S. K. Vodopyanov

doi:10.48550/arxiv.2507.11455

July 15, 2025Open Access

Composition operators on Sobolev spaces with a metric measure space as a domain. II

View Full Paper

Ask AI

Bookmark

Share

Key Points

Bounded composition operators are characterized via homeomorphisms in Sobolev spaces.
These operators maintain function properties when applied to metric measure spaces.
The relationship between homeomorphisms and bounded operators enhances the understanding of Sobolev spaces.
Findings contribute to the field of functional analysis and measure theory.

Implication

This work describes homeomorphisms that induce bounded composition operators on Sobolev spaces, indicating important properties of functions in these spaces.

Abstract

We obtain a description of the homeomorphisms which induce bounded composition operators on Sobolev spaces of functions on metric measure spaces.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Sboev et al. (2025) studied this question.

synapsesocial.com/papers/68e02f3cf0e39f13e7fa24ba https://doi.org/10.48550/arxiv.2507.11455

View Full Paper

Ask AI

Bookmark

Share

Composition operators on Sobolev spaces with a metric measure space as a domain. II

Key Points

Implication

Abstract

Discussion

Cite This Study

Composition operators on Sobolev spaces with a metric measure space as a domain. II

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers