Fractional vector-valued Littlewood–Paley–Stein theory for semigroups
From MaRDI portal
Publication:5168176
DOI10.1017/S0308210511001302zbMath1302.46008arXiv1105.6022MaRDI QIDQ5168176
Publication date: 3 July 2014
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.6022
Littlewood-Paley \(g\)-functionfractional derivativeUMD propertydiffusion semigroupLusin cotypeLusin type
Markov semigroups and applications to diffusion processes (47D07) Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07)
Related Items (15)
Higher-order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ Pointwise convergence of vector-valued Fourier series ⋮ Fractional square functions and potential spaces. II ⋮ Littlewood-Paley-Stein theory and Banach spaces in the inverse Gaussian setting ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ The characterizations of Hardy–Sobolev spaces by fractional square functions related to Schrödinger operators ⋮ Regularities of time-fractional derivatives of semigroups related to Schrödinger operators with application to Hardy-Sobolev spaces on Heisenberg groups ⋮ Square functions in the Hermite setting for functions with values in UMD spaces ⋮ Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting ⋮ Uniformly convex and smooth Banach spaces and \(L^p\)-boundedness properties of Littlewood-Paley and area functions associated with semigroups ⋮ UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces ⋮ UMD Banach spaces and square functions associated with heat semigroups for Schrödinger, Hermite and Laguerre operators ⋮ Variation operators for semigroups associated with Fourier-Bessel expansions ⋮ Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials
This page was built for publication: Fractional vector-valued Littlewood–Paley–Stein theory for semigroups
