Duals of variable exponent Hörmander spaces \((0< p^-\leq p^+ \leq 1)\) and some applications

DOI10.1007/s13398-014-0209-zzbMath1343.46028OpenAlexW2011954381MaRDI QIDQ496407

María Jesús Planells, Joaquín Motos, César Felix Talavera

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/78069

zbMATH Keywords

Hardy-Littlewood maximal operatorBanach envelopevariable exponentHörmander spaces\(L_{p(\cdot )}\)-spaces of entire analytic 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) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Maximal functions, Littlewood-Paley theory (42B25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items

Fréchet envelopes of nonlocally convex variable exponent Hörmander spaces

Cites Work

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• A note on variable exponent Hörmander spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• On variable exponent Lebesgue spaces of entire analytic functions
• Theory of function spaces
• New diffusion models in image processing
• \(\ell^q\)-subspaces of stable \(p\)-Banach spaces, \(0<p\leq 1\)
• Regularity results for stationary electro-rheological fluids
• Banach Envelopes of Non-Locally Convex Spaces
• Stability results on interpolation scales of quasi-Banach spaces and applications