Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents

DOI10.1007/s12215-014-0154-xzbMath1318.46021OpenAlexW2045535928MaRDI QIDQ743949

Takahiro Noi, Mitsuo Izuki

Publication date: 2 October 2014

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0154-x

zbMATH Keywords

Triebel-Lizorkin spacesdualityBesov spacesHerz spacesvariable exponent

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (14)

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents ⋮ Dual of modulation spaces with variable smoothness and integrability ⋮ On the duality of variable Triebel-Lizorkin spaces ⋮ Variable Besov-type spaces ⋮ Continuous characterization of the Besov spaces of variable smoothness and integrability ⋮ The \(B_\omega^u\) type Morrey-Triebel-Lizorkin spaces with variable smoothness and integrability ⋮ Weighted Besov spaces with variable exponents ⋮ Hardy spaces associated to critical Herz spaces with variable exponent ⋮ Two weighted Herz spaces with variable exponents ⋮ Variable Triebel-Lizorkin-type spaces ⋮ Bilinear Fourier multiplier operators on variable Triebel spaces ⋮ Proximinality in Banach space-valued grand Bochner-Lebesgue spaces with variable exponent ⋮ Weighted norm inequality for bilinear Calderón-Zygmund operators on Herz-Morrey spaces with variable exponents

Cites Work

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• Maximal, potential and singular type operators on Herz spaces with variable exponents
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability
• Commutators of fractional integrals on Lebesgue and herz spaces with variable exponent
• Fractional integrals on Herz-Morrey spaces with variable exponent
• Complex interpolation of Besov spaces and Triebel-Lizorkin spaces with variable exponents
• Duality of variable exponent Triebel-Lizorkin and Besov spaces
• Atomic decomposition of Besov spaces with variable smoothness and integrability
• Boundedness of commutators on Herz spaces with variable exponent
• Besov spaces with variable smoothness and integrability
• On stationary thermo-rheological viscous flows
• Function spaces of variable smoothness and integrability
• On the modeling of electrorheological materials
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• A note on the spaces of variable integrability and summability of Almeida and Hästö
• Vector-valued inequalities on Herz spaces and characterizations of Herz-Sobolev spaces with variable exponent
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• Interpolation of Herz Spaces and Applications
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Fourier multiplier theorems for Besov and Triebel-Lizorkin spaces with variable exponents
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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