Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators

Błażej Wróbel. "Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators." Studia Mathematica 216.1 (2013): 47-67. <http://eudml.org/doc/285904>.

@article{BłażejWróbel2013,
abstract = {Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators are studied. We prove that $L^\{p\}$-uniform, 1 < p < ∞, spectral multipliers extend to holomorphic functions in some subset of a polysector, depending on p. We also characterize L¹-uniform spectral multipliers and prove a Marcinkiewicz-type multiplier theorem. In the appendix we obtain analogous results for systems of Laguerre operators.},
author = {Błażej Wróbel},
journal = {Studia Mathematica},
keywords = {Ornstein-Uhlenbeck operators; multivariate spectral multipliers; uniform spectral multiplier; Laguerre operator},
language = {eng},
number = {1},
pages = {47-67},
title = {Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators},
url = {http://eudml.org/doc/285904},
volume = {216},
year = {2013},
}

TY - JOUR
AU - Błażej Wróbel
TI - Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators
JO - Studia Mathematica
PY - 2013
VL - 216
IS - 1
SP - 47
EP - 67
AB - Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators are studied. We prove that $L^{p}$-uniform, 1 < p < ∞, spectral multipliers extend to holomorphic functions in some subset of a polysector, depending on p. We also characterize L¹-uniform spectral multipliers and prove a Marcinkiewicz-type multiplier theorem. In the appendix we obtain analogous results for systems of Laguerre operators.
LA - eng
KW - Ornstein-Uhlenbeck operators; multivariate spectral multipliers; uniform spectral multiplier; Laguerre operator
UR - http://eudml.org/doc/285904
ER -