Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators

• Autorzy: Błażej Wróbel
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B15: Multipliers
• 47A60: Functional calculus
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 1
• Strony: 47-67

Daty

wydano

2013

Twórcy

autor

Błażej Wróbel

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/sm216-1-4