Fourier multipliers for Hölder continuous functions and maximal regularity

Wolfgang Arendt, Charles Batty, and Shangquan Bu. "Fourier multipliers for Hölder continuous functions and maximal regularity." Studia Mathematica 160.1 (2004): 23-51. <http://eudml.org/doc/284924>.

@article{WolfgangArendt2004,
abstract = {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.},
author = {Wolfgang Arendt, Charles Batty, Shangquan Bu},
journal = {Studia Mathematica},
keywords = {Fourier multipliers; maximal regularity},
language = {eng},
number = {1},
pages = {23-51},
title = {Fourier multipliers for Hölder continuous functions and maximal regularity},
url = {http://eudml.org/doc/284924},
volume = {160},
year = {2004},
}

TY - JOUR
AU - Wolfgang Arendt
AU - Charles Batty
AU - Shangquan Bu
TI - Fourier multipliers for Hölder continuous functions and maximal regularity
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 1
SP - 23
EP - 51
AB - 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.
LA - eng
KW - Fourier multipliers; maximal regularity
UR - http://eudml.org/doc/284924
ER -