Boundedness of paraproducts on spaces of homogeneous type I
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Publication:5072937
DOI10.1080/00036811.2020.1800653zbMath1487.42028OpenAlexW4240352991MaRDI QIDQ5072937
Xing Fu, Der-Chen E. Chang, Da Chun Yang
Publication date: 5 May 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1800653
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Analysis on metric spaces (30L99)
Related Items
Fractional Leibniz-type rules on spaces of homogeneous type ⋮ Weighted variational inequalities for singular integrals on spaces of homogeneous type
Cites Work
- Criterion of the boundedness of singular integrals on spaces of homogeneous type
- Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct
- Global solutions for 2D quadratic Schrödinger equations
- New properties of Besov and Triebel-Lizorkin spaces on RD-spaces
- Boundedness of paraproduct operators on RD-spaces
- Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss
- Paraproducts and products of functions in \(BMO(\mathbb R^n)\) and \(\mathcal H^1(\mathbb R^n)\) through wavelets
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- 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
- A boundedness criterion for generalized Calderón-Zygmund operators
- A decomposition into atoms of distributions on spaces of homogeneous type
- Uniform estimates on multi-linear operators with modulation symmetry.
- \(L^p\)-boundedness for time-frequency paraproducts. II
- New Calderón reproducing formulae with exponential decay on spaces of homogeneous type
- Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases
- Orthonormal bases of regular wavelets in spaces of homogeneous type
- Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type
- Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications
- Geometric characterizations of embedding theorems: for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type -- via orthonormal wavelets
- Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators
- Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
- Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications
- Sharp weighted estimates for square functions associated to operators on spaces of homogeneous type
- Hardy spaces associated to critical functions and applications to \(T1\) theorems
- A complete real-variable theory of Hardy spaces on spaces of homogeneous type
- On the Navier-Stokes initial value problem. I
- Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets 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.)
- Endpoint estimates for commutators of singular integrals related to Schrödinger operators
- Radial maximal function characterizations of Hardy spaces on RD-spaces and their applications
- Uniform estimates for paraproducts and related multilinear multipliers
- The Marcinkiewicz multiplier condition for bilinear operators
- Bilinear paraproducts revisited
- Bilinear decompositions and commutators of singular integral operators
- A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts
- Bilinear decompositions for the product space HL1×BMOL
- Systems of dyadic cubes in a doubling metric space
- Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Extensions of Hardy spaces and their use in analysis
- Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type
- Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
- Endpoint boundedness of commutators on spaces of homogeneous type
- Bilinear decompositions for products of Hardy and Lipschitz spaces on spaces of homogeneous type
- Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators
- Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type
- Modern Fourier Analysis
- WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
- Multilinear analysis on metric spaces
- Global solutions for the gravity water waves equation in dimension 3
- Bilinear operators with non-smooth symbol. I
- Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type
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