Boundedness of some sublinear operators on Herz spaces
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Publication:1815239
zbMath0956.46025MaRDI QIDQ1815239
Publication date: 13 March 2001
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
sublinear operatorsLaplacianHerz spacesregularity of solutionsboundedness of bilinear operatorsHardy space theorywave equations on Herz-type spaces
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces (42B30)
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spaces with variable exponent ⋮ Boundedness of fractional integral operators in Herz spaces on the hyperplane ⋮ Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications ⋮ New Herz type Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Strongly singular Calderón-Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Semilinear parabolic equations in Herz spaces ⋮ Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces ⋮ Sublinear operators on block-type spaces ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent ⋮ Unnamed Item ⋮ Calderón-Zygmund operators on Herz type Hardy spaces ⋮ Boundedness of sublinear operators with rough kernels on weighted Morrey spaces ⋮ Maximal, potential and singular type operators on Herz spaces with variable exponents ⋮ Parametrized Littlewood-Paley operators on Herz-type Hardy spaces with variable exponent ⋮ Unnamed Item ⋮ Endpoint estimates for fractional Hardy operators and their commutators on Hardy spaces ⋮ Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces ⋮ Variable Herz estimates for fractional integral operators ⋮ The boundedness of sublinear operators on Morrey-Herz spaces over the homogeneous type space ⋮ Boundedness of maximal operators on Herz spaces with radial variable exponent ⋮ Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space ⋮ Boundedness of maximal operator, Hardy operator and Sobolev's inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces ⋮ Extrapolation to Herz spaces with variable exponents and applications ⋮ The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces ⋮ Bilinear operators on Herz-type Hardy spaces ⋮ Weighted Herz spaces and regularity results ⋮ Boundedness of some sublinear operators in weighted Herz-type spaces ⋮ Sharp maximal inequalities and its application to some bilinear estimates ⋮ Marcinkiewicz integral operators and commutators on Herz spaces with variable exponents ⋮ Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces ⋮ On the theory of Besov-Herz spaces and Euler equations ⋮ Remarks on Herz-type Hardy spaces ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Boundedness of commutators on Hardy type spaces ⋮ On the continuity of pseudo-differential operators on multiplier spaces associated to Herz-type Triebel-Lizorkin spaces ⋮ Jawerth-Franke embeddings of Herz-type 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operators in Herz-type Hardy space ⋮ Boundedness of some bilinear operators on variable Herz-type Hardy spaces ⋮ Approximation in vanishing rearrangement-invariant Morrey spaces and applications ⋮ Herz-type Triebel-Lizorkin spaces. I ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces
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