Herz-Morrey type Besov and Triebel-Lizorkin spaces with variable exponents

DOI10.15352/bjma/09-1-7zbMath1333.46026OpenAlexW1506295297MaRDI QIDQ2341407

Baohua Dong, Jing-shi Xu

Publication date: 24 April 2015

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1419000579

zbMATH Keywords

Besov spacesingular integralmaximal operatorvariable exponentTriebel-Lizorkin spaceHerz-Morrey space

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (16)

MULTILINEAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT ⋮ Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Generalized Morrey spaces and trace operator ⋮ Weighted variable Morrey-Herz estimates for fractional Hardy operators ⋮ Precompact sets, boundedness, and compactness of commutators for singular integrals in variable Morrey spaces ⋮ Abstract Hardy spaces with variable exponents ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Hardy's inequalities and integral operators on Herz-Morrey spaces ⋮ Maximal and Calderón-Zygmund operators in grand variable Lebesgue spaces ⋮ The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application ⋮ The Musielak-Orlicz Herz spaces ⋮ Operators on Herz-Morrey spaces with variable exponents ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ The \(B_\omega^u\) type Morrey-Triebel-Lizorkin spaces with variable smoothness and integrability ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Bilinear Fourier multiplier operators on variable Triebel spaces

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