On the harmonic extension approach to fractional powers in Banach spaces

DOI10.1515/fca-2020-0055zbMath1474.47055arXiv1905.06779OpenAlexW2945665967MaRDI QIDQ2209194

Christian Seifert, Jan Meichsner

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06779

zbMATH Keywords

fractional powerssectorial operatorsDirichlet-to-Neumann operatornon-negative operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Sectorial operators (47B12)

Related Items

Harmonic extension technique for non-symmetric operators with completely monotone kernels, On some consequences of the solvability of the Caffarelli-Silvestre extension problem, A series representation of the discrete fractional Laplace operator of arbitrary order, On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients

Uses Software

• DLMF

Cites Work

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