On 2-microlocal spaces with all exponents variable

DOI10.1016/j.na.2016.01.016zbMath1355.46034arXiv1508.02356OpenAlexW2200876283MaRDI QIDQ265557

Alexandre Almeida, António M. Caetano

Publication date: 4 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02356

zbMATH Keywords

Fourier multipliersTriebel-Lizorkin spacesembeddingsBesov spaceslifting propertyvariable exponents2-microlocal spacesPeetre maximal functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces ⋮ Continuous characterization of the Besov spaces of variable smoothness and integrability ⋮ Franke–Jawerth embeddings for Besov and Triebel–Lizorkin spaces with variable exponents ⋮ The \(B_\omega^u\) type Morrey-Triebel-Lizorkin spaces with variable smoothness and integrability ⋮ Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent ⋮ Variable 2-microlocal Besov-Triebel-Lizorkin-type spaces ⋮ Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces ⋮ Variable exponent Triebel-Lizorkin-Morrey spaces ⋮ Variable exponent Besov-Morrey spaces ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Bilinear Fourier multiplier operators on variable Triebel spaces ⋮ Extension of variable Triebel-Lizorkin-type space on domains ⋮ Continuity of non-regular pseudodifferential operators on variable Triebel–Lizorkin spaces

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