Boundary values of holomorphic semigroups

DOI10.1090/S0002-9939-97-03529-6zbMath0869.47025OpenAlexW1521524758MaRDI QIDQ4332993

Matthias Hieber, Wolfgang Arendt, Omar El-Mennaoui

Publication date: 19 February 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03529-6

zbMATH Keywords

Laplace transformscharacterization theorem\(C_ 0\)-semigroupboundary values of holomorphic semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05)

Related Items (10)

Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN ⋮ On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle ⋮ Essentially coercive forms and asymptotically compact semigroups ⋮ Fractional integration of imaginary order in vector-valued Hölder spaces ⋮ Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients ⋮ One-parameter groups of regular quasimultipliers ⋮ On the infinite product of \(C_0\)-semigroups ⋮ On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities ⋮ Logarithms and imaginary powers of closed linear operators ⋮ Generalized Gaussian estimates and riesz means of Schrödinger groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• On operators with bounded imaginary powers in Banach spaces
• On Newman's quick way to the prime number theorem
• Existence families, functional calculi and evolution equations
• Holomorphic continuations of \(C_ 0\)-groups on Banach spaces
• On the closedness of the sum of two closed operators
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Evolutionary Integral Equations and Applications
• Boundary Values of Holomorphic Semigroups
• Fractional Powers of Momentum of a Spectral Distribution
• L p Spectra of Pseudodifferential Operators Generating Integrated Semigroups
• Fractional powers of operators

This page was built for publication: Boundary values of holomorphic semigroups