Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces

DOI10.1112/jlms.12436zbMath1478.35065arXiv1907.06237OpenAlexW2957925693MaRDI QIDQ5859969

Alessandra Lunardi, Michael Roeckner

Publication date: 18 November 2021

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

Full work available at URL: https://arxiv.org/abs/1907.06237

zbMATH Keywords

fractional Laplaciansgeneralized Mehler semigroups, maximal regularity in Hölder and Zygmund spacesOrnstein-Uhlenbeck operators with fractional diffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Fractional partial differential equations (35R11)

Related Items (6)

Time regularity for generalized Mehler semigroups ⋮ Functional inequalities for some generalised Mehler semigroups ⋮ Schauder regularity results in separable Hilbert spaces ⋮ The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces ⋮ Harnack inequalities with power \(\pmb{p\in (1,+\infty )}\) for transition semigroups in Hilbert spaces ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

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