Fefferman-Stein decomposition for \(Q\)-spaces and micro-local quantities

DOI10.1016/j.na.2016.07.001zbMath1350.42043arXiv1309.2029OpenAlexW2963095726MaRDI QIDQ326777

Pengtao Li, Tao Qian, Qi-Xiang Yang

Publication date: 12 October 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2029

zbMATH Keywords

atoms\(Q\)-spacesFefferman-Stein decompositiongeneralized Hardy spacesmicro-local structurewavelet characterization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)

Related Items (3)

The dual elements of function sets and Fefferman-Stein decomposition of Triebel-Lizorkin functions via wavelets ⋮ N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces ⋮ Carleson measures and the boundedness of singular integral operators on \(Q\)-type spaces related to weights

Cites Work

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