Square roots of elliptic operators and Hardy spaces

DOI10.1142/S1793744211000278zbMath1221.42040OpenAlexW2095038664MaRDI QIDQ542448

Emmanuel Russ

Publication date: 10 June 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793744211000278

zbMATH Keywords

Sobolev spacesRiemannian manifoldatomic decompositionLie groupHardy spacesPoincaré inequalitygraphsspaces of homogeneous typeRiesz transformsmaximal functionsquadratic functionalLipschitz domain

Mathematics Subject Classification ID

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) (H^p)-spaces (42B30) Heat and other parabolic equation methods for PDEs on manifolds (58J35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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