A maximal function characterization of the Hardy space for the Gauss measure

DOI10.1090/S0002-9939-2012-11443-1zbMath1266.42054arXiv1006.5551MaRDI QIDQ4910780

Stefano Meda, Peter Sjögren, Giancarlo Mauceri

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5551

zbMATH Keywords

maximal functionatomic decompositionGaussian measureGaussian Hardy space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items (8)

Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals ⋮ Pointwise multipliers for Campanato spaces on Gauss measure spaces ⋮ Weighted norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Singular integrals and Hardy type spaces for the inverse Gauss measure ⋮ Hardy spaces on homogeneous trees with flow measures ⋮ Local Muckenhoupt weights on Gaussian measure spaces

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