Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces
From MaRDI portal
Publication:335105
DOI10.1007/s10114-016-5059-5zbMath1351.42022OpenAlexW2511332078MaRDI QIDQ335105
Publication date: 2 November 2016
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-016-5059-5
Hardy spacesnon-homogeneous metric measure spacesgeneralized homogeneous Littlewood-Paley \(g\)-functionsvector-valued Calderón-Zygmund theory
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) (H^p)-spaces (42B30) Analysis on metric spaces (30L99)
Related Items
Some estimates for commutators of Littlewood-Paley \(g\)-functions, Some characterizations of upper doubling conditions on metric measure spaces, Generalized homogeneous Littlewood-Paley \(g\)-function on some function spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces
- Generalized fractional integrals and their commutators over non-homogeneous metric measure spaces
- Spaces of type BLO on non-homogeneous metric measure
- \(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures
- Weighted norm inequalities for multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces
- Endpoint estimates for homogeneous Littlewood-Paley \(g\)-functions with non-doubling measures
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
- A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- A decomposition into atoms of distributions on spaces of homogeneous type
- Lectures on analysis on metric spaces
- Weighted inequalities and vector-valued Calderón-Zygmund operators on non-homogeneous spaces
- Atomic decomposition and boundedness criterion of operators on multi-parameter Hardy spaces of homogeneous type
- Painlevé's problem and the semiadditivity of analytic capacity.
- The \(Tb\)-theorem on non-homogeneous spaces.
- Non-homogeneous \(Tb\) theorem and random dyadic cubes on metric measure spaces
- Boundedness of multilinear commutators of Calderón-Zygmund operators on Orlicz spaces over non-homogeneous spaces
- Orthonormal bases of regular wavelets in spaces of homogeneous type
- Hardy spaces, regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
- Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications
- The molecular characterization of the Hardy space \(H^1\) on non-homogeneous metric measure spaces and its application
- The Hardy space \(H^1\) with non-doubling measures and their applications
- BMO from dyadic BMO via expectations on product spaces of homogeneous type
- Bilipschitz maps, analytic capacity, and the Cauchy integral
- Morrey spaces for non-doubling measures
- Littlewood-Paley theory on metric spaces with non doubling measures and its applications
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Singular integrals on Carleson measure spaces ${CMO}^p$ on product spaces of homogeneous type
- The Hardy space H1 on non-homogeneous metric spaces
- Bergman-type singular integral operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball
- Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces
- Hp → Hp boundedness implies Hp → Lp boundedness
- Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
- vector-valued singular integrals and maximal functions on spaces of homogeneous type
- Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures
- Extensions of Hardy spaces and their use in analysis
- Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
- Theorems on Fourier Series and Power Series
- Spaces of type BLO for non-doubling measures
- The semiadditivity of continuous analytic capacity and the inner boundary conjecture
- Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type
- The John–Nirenberg type inequality for non-doubling measures
- A new characterization of regularized BMO spaces on non-homogeneous spaces and its applications
- Theorems on Fourier Series and Power Series (II)†
- BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
- Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures
