Complex interpolation of variable Morrey spaces

DOI10.1002/MANA.202000513OpenAlexW4200294816MaRDI QIDQ6047592

Denny Ivanal Hakim, Yoshihiro Sawano

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000513

zbMATH Keywords

complex interpolationvariable Morrey spacesLebesgue spaces with variable exponentCalderón product

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) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation on variable Morrey spaces defined on quasi-metric measure spaces
• Interpolation of generalized Morrey spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Erratum to: ``Multipliers and Morrey spaces
• Complex interpolation for predual spaces of Morrey-type spaces
• Lebesgue and Sobolev spaces with variable exponents
• Calderón's first and second complex interpolations of closed subspaces of Morrey spaces
• Theory of Besov spaces
• Interpolation of Morrey-Campanato and related smoothness spaces
• Variable exponent Morrey and Campanato spaces
• Continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent
• Interpolation theorems for variable exponent Lebesgue spaces
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• Complex interpolation of variable Triebel-Lizorkin spaces
• Corrigenda to ``Unique continuation for Schrödinger operators and a remark on interpolation of Morrey spaces
• Multipliers and Morrey spaces
• Complex interpolation and Calderón-Mityagin couples of Morrey spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Interpolation of Morrey Spaces on Metric Measure Spaces
• Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure
• Morrey Spaces
• £^(p,λ)‐spaces and interpolation
• Intermediate spaces and interpolation, the complex method

This page was built for publication: Complex interpolation of variable Morrey spaces