A Spectral Multiplier Theorem for Non-Self-Adjoint Operators
Idioma
en
Article de revue
Este ítem está publicado en
Transactions of the American Mathematical Society. 2009, vol. 361, n° 12, p. 6567-6582
American Mathematical Society
Resumen en inglés
We prove a spectral multiplier theorem for non-self-adjoint operators. More precisely, we consider non-self-adjoint operators A : D(A) ⊂ L2 → L2 having numerical range in a sector Σ(w) of angle w, and whose heat kernel ...Leer más >
We prove a spectral multiplier theorem for non-self-adjoint operators. More precisely, we consider non-self-adjoint operators A : D(A) ⊂ L2 → L2 having numerical range in a sector Σ(w) of angle w, and whose heat kernel satisfies a Gaussian upper bound. We prove that for every bounded holomorphic function f on Σ(w), f(A) acts on Lp with Lp−norm estimated by the behavior of a finite number of derivatives of f on the boundary of Σ(w).< Leer menos
Palabras clave en inglés
Spectral multipliers
harmonic analysis
functional calculus
Orígen
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