New atomic decomposition for Besov type space \(\dot{B}^0_{1, 1}\) associated with Schrödinger type operators

DOI10.1007/s00041-023-10032-4zbMath1530.46033OpenAlexW4385347572MaRDI QIDQ6115248

Xuan Thinh Duong, The Anh Bui

Publication date: 16 August 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-023-10032-4

zbMATH Keywords

atomic decompositionRiesz transformBesov space \(B^0_{1, 1}\)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Schrödinger operator, Schrödinger equation (35J10) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

• Unnamed Item
• Unnamed Item
• Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials
• Calderón reproducing formulas and new Besov spaces associated with operators
• Besov and Triebel-Lizorkin spaces associated with non-negative self-adjoint operators
• Decomposition of spaces of distributions induced by Hermite expansions
• A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
• Singular integral operators with non-smooth kernels on irregular domains
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• Weighted Hardy spaces
• Riesz transform, Gaussian bounds and the method of wave equation
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces
• Second order Riesz transforms associated to the Schrödinger operator for \(p\leqslant 1\)
• On the flows associated to selfadjoint operators on metric measure spaces
• Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
• On the wave equation with a large rough potential
• Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators
• The uncertainty principle
• Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• Extensions of Hardy spaces and their use in analysis
• Riesz transforms for $1\le p\le 2$
• Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
• OptimalL^∞decay for solutions to the wave equation with a potential
• Some new spaces of Besov and Triebel–Lizorkin type on homogeneous spaces
• Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
• Analysis on Lie groups
• The Besov space \(B_1^{0,1}\) on domains