Atomic decomposition and weak factorization in generalized Hardy spaces of closed forms

DOI10.1016/j.bulsci.2017.07.004zbMath1386.32008arXiv1601.03856OpenAlexW2964099129MaRDI QIDQ2408543

Sandrine Grellier, Justin Feuto, Luong Dang Ky, Aline Bonami

Publication date: 12 October 2017

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03856

zbMATH Keywords

atomic decompositionHardy spacesOrlicz spacesdiv-curl lemmaMusielak-Orlicz spacesweak factorization

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (5)

Real-variable characterizations of local Orlicz-slice Hardy spaces with application to bilinear decompositions ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces ⋮ Multiplication between Hardy spaces and their dual spaces ⋮ Several remarks on Musielak-Orlicz Hardy spaces

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