A quasiconformal composition problem for the \(Q\)-spaces

DOI10.4171/JEMS/690zbMath1372.42017arXiv1608.02009OpenAlexW2963884541WikidataQ109747044 ScholiaQ109747044MaRDI QIDQ522512

Yi Ru-Ya Zhang, Pekka Koskela, Yuan Zhou, Jie Xiao

Publication date: 18 April 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02009

zbMATH Keywords

compositionsbounded operatorsquasiconformal mappingsMinkowski dimension\(Q\)-spaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) Besov spaces and (Q_p)-spaces (30H25)

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N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces ⋮ John-Nirenberg-\(Q\) spaces via congruent cubes ⋮ Boundedness of composition operators on higher order Besov spaces in one dimension ⋮ Fractional Orlicz-Sobolev extension/imbedding on Ahlfors \(n\)-regular domains ⋮ Composition operators on the Bergman space with quasiconformal symbols ⋮ Locally biHölder continuous maps and their induced embeddings between Besov spaces ⋮ The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space ⋮ The Haar system in Besov-type spaces ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ Sharp boundedness of quasiconformal composition operators on Triebel-Lizorkin type spaces ⋮ Carleson measures and the boundedness of singular integral operators on \(Q\)-type spaces related to weights ⋮ Harmonic extension of -type spaces via regular wavelets

Cites Work

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• Q spaces of several real variables