Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension

DOI10.1515/anona-2021-0232zbMath1486.31014OpenAlexW4212960674MaRDI QIDQ2117403

Pengtao Li, Zhichun Zhai

Publication date: 21 March 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2021-0232

zbMATH Keywords

Sobolev spacesextensionLebesgue spacesfractional Laplaciancapacitiesspace-time fractional equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (3)

Boundedness of operators on Campanato spaces related with Schrödinger operators on Heisenberg groups ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Capacities and embeddings of Besov spaces via general convolution kernels

Cites Work

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