Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains

DOI10.1002/mma.3501zbMath1341.42036OpenAlexW1516092367MaRDI QIDQ2786714

Da Chun Yang, Der-Chen E. Chang, Si Bei Yang, Zun Wei Fu

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3501

zbMATH Keywords

maximal functionSchrödinger operatorsDirichlet boundary conditionatomsMusielak-Orlicz-Hardy spacesGaussian upper boundLusin area functionstrongly Lipschitz domains

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30)

Related Items (12)

Regularity for inhomogeneous Dirichlet problems of some Schrödinger equations on domains ⋮ Existence of positive solutions for third-order semipositone boundary value problems on time scales ⋮ Heat kernels and Hardy spaces on non-tangentially accessible domains with applications to global regularity of inhomogeneous Dirichlet problems ⋮ Calderón-Zygmund operators and commutators on weak Musielak-Orlicz Hardy spaces ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Regularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spaces ⋮ Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications ⋮ Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type ⋮ Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems ⋮ Several remarks on Musielak-Orlicz Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds
• Besov and Hardy spaces associated with the Schrödinger operator on the Heisenberg group
• Musielak-Orlicz-Hardy spaces associated with operators and their applications
• Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schrödinger operators
• Orlicz-Hardy spaces associated to operators satisfying bounded \(H_{\infty }\) functional calculus and Davies-Gaffney estimates
• On the theory of harmonic functions of several variables
• New Orlicz-Hardy spaces associated with divergence form elliptic operators
• Riesz transforms associated to Schrödinger operators on weighted Hardy spaces
• Hardy spaces associated to the Schrödinger operator on strongly Lipschitz domains of \({\mathbb{R}^d}\)
• 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.
• Homeomorphisms preserving \(A_ p\)
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• On the atomic decomposition for Hardy spaces on Lipschitz domains of \(\mathbb R^n\)
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Intrinsic atomic characterizations of function spaces on domains
• Local Hardy spaces of Musielak-Orlicz type and their applications
• Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems
• Real-variable characterizations of Orlicz-Hardy spaces on strongly Lipschitz domains of \(\mathbb{R}^n\)
• A local version of Hardy spaces associated with operators on metric spaces
• Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces
• An atomic decomposition of weighted Hardy spaces associated to self-adjoint operators
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• On characterization of Poisson integrals of Schrödinger operators with BMO traces
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• \(H^p\) spaces of several variables
• Bilinear decompositions and commutators of singular integral operators
• Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems
• ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
• The uncertainty principle
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• Classes of Hardy spaces associated with operators, duality theorem and applications
• On the Trotter-Lie product formula
• Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
• The Structure of the Reverse Holder Classes
• Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
• Orlicz-Hardy spaces associated with divergence operators on unbounded strongly Lipschitz domains of $\mathbb{R}^n$
• A CHARACTERIZATION OF HARDY SPACE ON STRONGLY LIPSCHITZ DOMAINS OF ℝⁿ BY LITTLEWOOD–PALEY–STEIN FUNCTION
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS

This page was built for publication: Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains