Weak Hardy Spaces $WH_L^p({\mathbb R}^n)$ Associated to Operators Satisfying $k$-Davies-Gaffney Estimates

zbMath1328.42005arXiv1308.5385MaRDI QIDQ2948166

Jun Cao, Huo Xiong Wu, Der-Chen E. Chang, Da Chun Yang

Publication date: 29 September 2015

Full work available at URL: https://arxiv.org/abs/1308.5385

zbMATH Keywords

atomreal interpolationBMO spacefunctional calculusmoleculeRiesz transformdual spacesweak Hardy spacesSchrödinger type operatorhigher order elliptic operators\(k\)-Davies-Gaffney estimatesnon-tangential square function

Mathematics Subject Classification ID

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) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30) Higher-order elliptic equations (35J30) Harmonic analysis and PDEs (42B37)

Related Items (6)

Herz-type Hardy spaces with variable exponents associated with operators satisfying Davies-Gaffney estimates ⋮ Endpoint boundedness of Riesz transforms on Hardy spaces associated with operators ⋮ The dual space of variable weak Hardy space \(\mathcal{H}^{p(\cdot ),\infty}(\mathbb{R}^n)\) ⋮ Variable Hardy-Lorentz spaces associated with operators satisfying Davies-Gaffney estimates on metric measure spaces of homogeneous type ⋮ Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators ⋮ Variable weak Hardy spaces \(WH_{L}^{p(\cdot)}(\mathbb{R}^{n})\) associated with operators satisfying Davies-Gaffney estimates

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