Variable exponent Besov-Morrey spaces

DOI10.1007/s00041-019-09711-yzbMath1445.46033arXiv1807.10687OpenAlexW3100411114MaRDI QIDQ2288433

Alexandre Almeida, António M. Caetano

Publication date: 17 January 2020

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10687

zbMATH Keywords

atomic representationvariable exponentsnon-standard growthBesov-Morrey spacesconvolution inequalitiesmaximal characterizationmixed Morrey-sequence spacesmolecular representation

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 (11)

Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces ⋮ Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces ⋮ Preduals of variable Morrey-Campanato spaces and boundedness of operators ⋮ Unnamed Item ⋮ Global well-posedness of generalized magnetohydrodynamics equations in variable exponent Fourier-Besov-Morrey spaces ⋮ The \(B_\omega^u\) type Morrey-Triebel-Lizorkin spaces with variable smoothness and integrability ⋮ Unnamed Item ⋮ Variable exponent Triebel-Lizorkin-Morrey spaces ⋮ The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents ⋮ Variable Triebel-Lizorkin-type spaces ⋮ Well-posedness, analyticity and time decay of the 3D fractional magneto-hydrodynamics equations in critical Fourier-Besov-Morrey spaces with variable exponent

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