Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type
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Publication:2024704
DOI10.1007/s12220-020-00429-8zbMath1462.42022OpenAlexW3035896015MaRDI QIDQ2024704
Xing Fu, Da Chun Yang, Si Bei Yang
Publication date: 4 May 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-020-00429-8
waveletcommutatorlocal Hardy spaceCalderón-Zygmund operatorbilinear decompositionmetric measure space of homogeneous type
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Commutators, derivations, elementary operators, etc. (47B47) (H^p)-spaces (42B30) Analysis on metric spaces (30L99)
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Boundedness of paraproducts on spaces of homogeneous type I, Weighted \(L^p\)-boundedness and \(L^p\)-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates, Estimates for bilinear generalized fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces
Cites Work
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- Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces
- On weak\(^*\)-convergence in the localized Hardy spaces \(H^1_\rho(\mathcal{X})\) and its application
- New properties of Besov and Triebel-Lizorkin spaces on RD-spaces
- Paraproducts and products of functions in \(BMO(\mathbb R^n)\) and \(\mathcal H^1(\mathbb R^n)\) through wavelets
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators
- A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
- Boundedness of singular integrals in Hardy spaces on spaces of homogeneous type
- Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
- A decomposition into atoms of distributions on spaces of homogeneous type
- Hardy space estimates for multilinear operators. II
- Factorization theorems for Hardy spaces in several variables
- A local version of real Hardy spaces
- Lectures on analysis on metric spaces
- New Calderón reproducing formulae with exponential decay on spaces of homogeneous type
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
- Products of functions in \(H^1_{\rho}(\mathcal {X})\) and \(\mathrm {BMO}_{\rho }(\mathcal {X})\) over RD-spaces and applications to Schrödinger operators
- A characterization of product BMO by commutators.
- Endpoint estimates for commutators of singular integral operators
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Orthonormal bases of regular wavelets in spaces of homogeneous type
- Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
- Hardy spaces associated to critical functions and applications to \(T1\) theorems
- A complete real-variable theory of Hardy spaces on spaces of homogeneous type
- Boundedness of certain commutators over non-homogeneous metric measure spaces
- Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type
- Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets over spaces of homogeneous type
- On the product of functions in BMO and H\(^1\)
- Hardy spaces \(H^1\) for Schrödinger operators with compactly supported potentials
- On the product of functions in BMO and \(H^1\) over spaces of homogeneous type
- 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.)
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Bilinear decompositions and commutators of singular integral operators
- Bilinear decompositions for the product space HL1×BMOL
- John–Nirenberg lemmas for a doubling measure
- Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
- An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
- Systems of dyadic cubes in a doubling metric space
- Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
- Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
- Extensions of Hardy spaces and their use in analysis
- Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type
- Endpoint boundedness of commutators on spaces of homogeneous type
- Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type
- Classical Fourier Analysis
- Modern Fourier Analysis
- Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting
- Weighted Norm Inequalities for the Hardy Maximal Function
- Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type