Laguerre operator and its associated weighted Besov and Triebel-Lizorkin spaces

DOI10.1090/tran/6745zbMath1361.46024OpenAlexW2320967919MaRDI QIDQ5506667

The Anh Bui, Xuan Thinh Duong

Publication date: 13 December 2016

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

Full work available at URL: https://doi.org/10.1090/tran/6745

zbMATH Keywords

Besov spaceatomic decompositionTriebel-Lizorkin spaceLaguerre operator

Mathematics Subject Classification ID

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) Groups and semigroups of linear operators (47D03)

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Solutions of Weinstein type equations, Carleson measures and \(\mathrm{BMO}(\mathbb{R}_+, dm_\lambda)\) ⋮ Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators ⋮ Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications ⋮ Besov and {T}riebel-{L}izorkin spaces associated with {L}aguerre expansions of {H}ermite type ⋮ Equivalent quasi-norms in Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Unnamed Item ⋮ Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators ⋮ WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS ⋮ On the flows associated to selfadjoint operators on metric measure spaces

Cites Work

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• Weighted Hardy spaces associated with operators satisfying reinforced off-diagonal estimates
• Harnack's inequality for fractional nonlocal equations
• A discrete transform and decompositions of distribution spaces
• Calderón reproducing formulas and new Besov spaces associated with operators
• Riesz transform characterization of \(H^1\) spaces associated with certain Laguerre expansions
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. III: Harmonic analysis of elliptic operators
• Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
• Hardy and BMO spaces associated to divergence form elliptic operators
• Atomic decomposition of Hardy spaces associated with certain Laguerre expansions
• Weighted Hardy spaces
• Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case \(q<1\)
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Elliptic partial differential equations of second order
• Subelliptic Poincaré inequalities: the case \(p<1\)
• Riesz transforms for multi-dimensional Laguerre function expansions
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Heat-diffusion maximal operators for Laguerre semigroups with negative parameters
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• Lp boundedness of Riesz transform related to Schroedinger operators on a manifold
• vector-valued singular integrals and maximal functions on spaces of homogeneous type
• The local regularity of solutions of degenerate elliptic equations
• Extensions of Hardy spaces and their use in analysis
• An Introduction to Variational Inequalities and Their Applications
• Harnack's Inequality for Degenerate Schrodinger Operators
• Heat-diffusion and Poisson integrals for Laguerre and special Hermite expansions on weighted L^pspaces
• Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• An Extension Problem Related to the Fractional Laplacian
• Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications

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