Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets over spaces of homogeneous type

DOI10.1007/s00041-016-9483-9zbMath1426.42018arXiv1506.05910OpenAlexW2466971504MaRDI QIDQ2409204

Xing Fu, Da Chun Yang, Yi Yu Liang

Publication date: 11 October 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05910

zbMATH Keywords

Hardy spaceproductparaproductbilinear operatorspline functionregular waveletmetric measure space of homogeneous type\(\mathrm {BMO}({\mathcal X})\)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Forms (bilinear, sesquilinear, multilinear) (47A07) Analysis on metric spaces (30L99)

Related Items

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, Boundedness of paraproducts on spaces of homogeneous type I, Boundedness of paraproducts on spaces of homogeneous type II, Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces, Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type, Pointwise multipliers on Orlicz-Campanato spaces, Products and commutators of martingales in \(H_1\) and BMO, Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators, Bilinear decompositions for products of Hardy and Lipschitz spaces on spaces of homogeneous type, Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces, Wolff potentials and regularity of solutions to integral systems on spaces of homogeneous type, Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type, Pointwise multipliers of Zygmund classes on \(\mathbb{R}^n\), Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type, A complete real-variable theory of Hardy spaces on spaces of homogeneous type, Multiplication between Hardy spaces and their dual spaces, Several remarks on Musielak-Orlicz Hardy spaces, Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications, Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators

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