Atomic decompositions and Hardy's inequality on weak Hardy-Morrey spaces
From MaRDI portal
Publication:1702180
DOI10.1007/s11425-016-0229-1zbMath1382.26013OpenAlexW2561283884MaRDI QIDQ1702180
Publication date: 28 February 2018
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-016-0229-1
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (H^p)-spaces (42B30) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items
Hardy's inequality on Hardy-Morrey spaces with variable exponents ⋮ Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators ⋮ Sparse non-smooth atomic decomposition of quasi-Banach lattices ⋮ Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation ⋮ Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces ⋮ Hardy's inequalities and integral operators on Herz-Morrey spaces ⋮ Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces ⋮ Weak‐type Fefferman–Stein inequality and commutators on weak Orlicz–Morrey spaces ⋮ Unnamed Item ⋮ Erdélyi-Kober fractional integrals on Hardy space and BMO ⋮ Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators ⋮ Hardy's inequality on Hardy-Morrey spaces ⋮ Integral operators on BMO and Campanato spaces ⋮ Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations ⋮ Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of $q$-integral $p$-variation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents
- Intrinsic atomic and molecular decompositions of Hardy-Musielak-Orlicz spaces
- Anisotropic Hardy-Lorentz spaces and their applications
- Hardy spaces with variable exponents and generalized Campanato spaces
- Orlicz-Hardy spaces and their duals
- Optimal domain and integral extension of operators, acting in function spaces
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Decomposition of Hardy--Morrey spaces
- Generalized Hardy inequalities in rearrangement invariant spaces
- Weighted Hardy spaces
- Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
- Atomic decompositions of weighted Hardy-Morrey spaces
- Besov-Köthe spaces and application
- Hardy's inequality on Hardy-Morrey spaces with variable exponents
- Weak Morrey spaces and strong solutions to the Navier-Stokes equations
- Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
- Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces
- Hardy's inequality and Hausdorff operators on rearrangement-invariant Morrey spaces
- Littlewood-Paley spaces
- Vector-valued singular integral operators on Morrey type spaces and variable Triebel-Lizorkin-Morrey spaces
- Atomic decomposition of Hardy-Morrey spaces with variable exponents
- Orlicz–Morrey spaces and the Hardy–Littlewood maximal function
- Hardy type inequality in variable Lebesgue spaces
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations