Sean Harris

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20182023

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math.FA2020

A Weyl pseudodifferential calculus associated with exponential weights on $R^{d}$

Sean Harris

We construct a Weyl pseudodifferential calculus tailored to studying boundedness of operators on weighted $L^{p}$ spaces over $R^{d}$ with weights of the form $exp (- ϕ (x))$ , f…

math.FA2018

Optimal angle of the holomorphic functional calculus for the classical Ornstein-Uhlenbeck operator on $L^{p}$

Sean Harris

We give a simple proof of the fact that the classical Ornstein-Uhlenbeck operator $L$ is R-sectorial of angle $a r cs in ∣1 - 2/ p ∣$ on $L^{p} (R^{n}, exp (- ∣ x ∣^{2} /2) d x)$ (for $1<p<…

A Weyl pseudodifferential calculus associated with exponential weights on Rd

Optimal angle of the holomorphic functional calculus for the classical Ornstein-Uhlenbeck operator on Lp

A Weyl pseudodifferential calculus associated with exponential weights on $R^{d}$

Optimal angle of the holomorphic functional calculus for the classical Ornstein-Uhlenbeck operator on $L^{p}$