The composition operators in Sobolev spaces with variable exponent of summability

DOI10.17377/semi.2017.14.067zbMath1375.30097MaRDI QIDQ2403666

Aleksandr Sergeevich Romanov

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacecomposition operatorquasi-isometric map

Mathematics Subject Classification ID

Linear composition operators (47B33) Analysis on metric spaces (30L99)

Related Items (2)

On the equivalence of domains in the theory of Sobolev spaces with variable exponents ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Cites Work

• Sobolev-type functions with variable integrability exponent on metric measure spaces
• Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
• Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings
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