Fourier multipliers for Hölder continuous functions and maximal regularity

• Autorzy: Wolfgang Arendt , Charles Batty , Shangquan Bu
• Języki publikacji: EN

Abstrakty

EN

Two operator-valued Fourier multiplier theorems for Hölder spaces are proved, one periodic, the other on the line. In contrast to the $L^{p}$-situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Hölder can be characterized by simple resolvent estimates of the underlying operator.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 42A45: Multipliers
• 34G10: Linear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 160
• Numer: 1
• Strony: 23-51

Daty

wydano

2004

Twórcy

autor

Wolfgang Arendt

• Abteilung Angewandte Analysis, Universität Ulm, 89069 Ulm, Germany

autor

Charles Batty

• St. John's College, University of Oxford, Oxford OX1 3JP, Great Britain

autor

Shangquan Bu

• Department of Mathematical Science, University of Tsinghua, 100084 Beijing, China
• Abteilung Angewandte Analysis, Universität Ulm, 89069 Ulm, Germany

Identyfikatory

DOI

10.4064/sm160-1-2