Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus

DOI10.2969/jmsj/06810001zbMath1344.42017OpenAlexW2271095004MaRDI QIDQ267134

Tri Dung Tran, Xuan Thinh Duong

Publication date: 8 April 2016

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1453731532

zbMATH Keywords

functional calculusRiesz transformDavies-Gaffney estimateMusielak-Orlicz Hardy spaces

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) Functional calculus for linear operators (47A60) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70) Pseudodifferential operators (47G30)

Related Items (2)

Parametric Marcinkiewicz integrals with rough kernels acting on weak Musielak-Orlicz Hardy spaces ⋮ Several remarks on Musielak-Orlicz Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Musielak-Orlicz-Hardy spaces associated with operators and their applications
• Orlicz-Hardy spaces associated to operators satisfying bounded \(H_{\infty }\) functional calculus and Davies-Gaffney estimates
• Orlicz spaces and modular spaces
• On the theory of harmonic functions of several variables
• New Orlicz-Hardy spaces associated with divergence form elliptic operators
• Hardy spaces of differential forms on Riemannian manifolds
• Commutators of Riesz transforms of magnetic Schrödinger operators
• Old and new Morrey spaces with heat kernel bounds
• Hardy and BMO spaces associated to divergence form elliptic operators
• Some new function spaces and their applications to harmonic analysis.
• An atomic decomposition of the predual of BMO(\(\rho\) )
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• Riesz transform, Gaussian bounds and the method of wave equation
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
• Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• A look at \(\text{BMO}_{\varphi}(\omega)\) through Carleson measures
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• \(H^p\) spaces of several variables
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
• Riesz transform on manifolds and heat kernel regularity
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Classes of Hardy spaces associated with operators, duality theorem and applications
• Riesz transforms for $1\le p\le 2$
• Heat kernel estimates and functional calculi of $-b \Delta$
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications

This page was built for publication: Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus