On geometric characterizations of mappings generate composition operators on Sobolev spaces
Alexander Ukhlov
TL;DR
This paper explores geometric conditions that determine when mappings induce composition operators on Sobolev spaces, providing detailed proofs for specific parameter ranges.
Contribution
It offers new geometric characterizations of mappings generating composition operators on Sobolev spaces, with detailed proofs for different cases.
Findings
Characterization of mappings generating composition operators
Detailed proofs for cases n-1<q<n and n>q
Enhanced understanding of Sobolev space mappings
Abstract
In this work we consider refined geometric characterizations of mappings generate composition operators on Sobolev spaces. The detailed proofs in the cases and are given.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Matrix Theory and Algorithms