BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator

DOI10.1016/j.jfa.2007.06.017zbMath1136.46027OpenAlexW2055681526MaRDI QIDQ2461240

Stefano Meda, Giancarlo Mauceri

Publication date: 27 November 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.06.017

zbMATH Keywords

BMOsingular integralsRiesz transformimaginary powersGauss measureatomic Hardy space

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) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Abstract harmonic analysis (43A99)

Related Items (32)

An equivalent characterization of BMO with Gauss measure ⋮ BLO spaces associated with the Ornstein-Uhlenbeck operator ⋮ Two-weight norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ Admissible decomposition for spectral multipliers on Gaussian \(L^p\) ⋮ Characterizations of BMO associated with Gauss measures via commutators of local fractional integrals ⋮ Hardy spaces associated to self-adjoint operators on general domains ⋮ Hardy spaces on open subsets of \(\mathbb{R}^n\) ⋮ Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds ⋮ Atomic Hardy-type spaces between \( H^1\) and \( L^1\) on metric spaces with non-doubling measures ⋮ On the $H^1$--$L^1$ boundedness of operators ⋮ Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations ⋮ Sobolev embedding into BMO and weak-\(L^\infty\) for \(1\)-dimensional probability measure ⋮ Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals ⋮ A note on Gaussian maximal functions ⋮ \(H^{\infty}\)-calculus for semigroup generators on BMO ⋮ An \(L^1\)-estimate for certain spectral multipliers associated with the Ornstein-Uhlenbeck operator ⋮ Some weighted estimates on Gaussian measure spaces ⋮ A maximal function characterization of the Hardy space for the Gauss measure ⋮ Whitney coverings and the tent spaces \(T^{1,q}(\gamma)\) for the Gaussian measure ⋮ Pointwise multipliers for Campanato spaces on Gauss measure spaces ⋮ Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator ⋮ Weighted norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator ⋮ Conical square functions and non-tangential maximal functions with respect to the Gaussian measure ⋮ Boundedness of Littlewood-Paley operators associated with Gauss measures ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Spaces \(H^1\) and BMO on \(ax+b\)-groups ⋮ Littlewood-Paley theory on metric spaces with non doubling measures and its applications ⋮ Singular integrals and Hardy type spaces for the inverse Gauss measure ⋮ – OFF-DIAGONAL ESTIMATES FOR THE ORNSTEIN–UHLENBECK SEMIGROUP: SOME POSITIVE AND NEGATIVE RESULTS ⋮ Local Muckenhoupt weights on Gaussian measure spaces

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