Hörmander functional calculus on UMD lattice valued Lp spaces under generalized Gaussian estimates

2021 ◽  
Author(s):  
Luc Deleaval ◽  
Mikko Kemppainen ◽  
Christoph Kriegler
Keyword(s):  
Functional Calculus ◽  
Lp Spaces ◽  
Gaussian Estimates

scholarly journals H∞ functional calculus of elliptic operators with C∞ coefficients on Lp spaces of smooth domains

1990 ◽  
Vol 48 (1) ◽  
pp. 113-123 ◽  
Author(s):  
Xuan Thinh Duong
Keyword(s):  
Functional Calculus ◽  
Differential Operators ◽  
Higher Order ◽  
Elliptic Operators ◽  
Partial Differential ◽  
Lp Spaces ◽  
Partial Differential Operators ◽  
Quadratic Estimates

AbstractThe purpose of this paper is to show that higher order elliptic partial differential operators on smooth domains have an H∞ functional calculus and satisfy quadratic estimates in Lp spaces on these domains.

Properties of the Local Functional Calculus

2002 ◽  
Vol 102 (2) ◽  
pp. 215-225
Author(s):  
Teresa Bermύdez ◽  
Manuel González ◽  
Antonio Martinόn
Keyword(s):  
Functional Calculus ◽  
Local Functional

scholarly journals 2-D TM GPR Imaging Through a Multiscaling Multifrequency Approach in Lp Spaces

2021 ◽  
pp. 1-11
Author(s):  
Marco Salucci ◽  
Claudio Estatico ◽  
Alessandro Fedeli ◽  
Giacomo Oliveri ◽  
Matteo Pastorino ◽  
...  
Keyword(s):  
Lp Spaces

scholarly journals Local rigidity for actions of Kazhdan groups on noncommutative Lp-spaces

2015 ◽  
Vol 26 (08) ◽  
pp. 1550064
Author(s):  
Bachir Bekka
Keyword(s):  
Von Neumann Algebra ◽  
Regular Representation ◽  
Von Neumann ◽  
Lp Spaces ◽  
Local Rigidity ◽  
Left Regular Representation ◽  
Left Regular ◽  
Property T ◽  
Finite Factor ◽  
Finite Index Subgroup

Let Γ be a discrete group and 𝒩 a finite factor, and assume that both have Kazhdan's Property (T). For p ∈ [1, +∞), p ≠ 2, let π : Γ →O(Lp(𝒩)) be a homomorphism to the group O(Lp(𝒩)) of linear bijective isometries of the Lp-space of 𝒩. There are two actions πl and πr of a finite index subgroup Γ+ of Γ by automorphisms of 𝒩 associated to π and given by πl(g)x = (π(g) 1)*π(g)(x) and πr(g)x = π(g)(x)(π(g) 1)* for g ∈ Γ+ and x ∈ 𝒩. Assume that πl and πr are ergodic. We prove that π is locally rigid, that is, the orbit of π under O(Lp(𝒩)) is open in Hom (Γ, O(Lp(𝒩))). As a corollary, we obtain that, if moreover Γ is an ICC group, then the embedding g ↦ Ad (λ(g)) is locally rigid in O(Lp(𝒩(Γ))), where 𝒩(Γ) is the von Neumann algebra generated by the left regular representation λ of Γ.

scholarly journals The spectral theorem for well-bounded operators

1993 ◽  
Vol 54 (3) ◽  
pp. 334-351 ◽  
Author(s):  
Ian Doust ◽  
Qiu Bozhou
Keyword(s):  
Functional Calculus ◽  
Continuous Functions ◽  
Weak Compactness ◽  
Compact Interval ◽  
Spectral Theorem ◽  
Type B ◽  
Bounded Operators ◽  
Absolutely Continuous Functions ◽  
Absolutely Continuous

AbstractWell-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact interval. Depending on the weak compactness of this functional calculus, one obtains one of two types of spectral theorem for these operators. A method is given which enables one to obtain both spectral theorems by simply changing the topology used. Even for the case of well-bounded operators of type (B), the proof given is more elementary than that previously in the literature.

A local functional calculus

1986 ◽  
Vol 9 (2) ◽  
pp. 218-236 ◽  
Author(s):  
Paul McGuire
Keyword(s):  
Functional Calculus ◽  
Local Functional

scholarly journals Extensions of an AC(σ) functional calculus

2010 ◽  
Vol 362 (1) ◽  
pp. 100-106
Author(s):  
Ian Doust ◽  
Venta Terauds
Keyword(s):  
Functional Calculus
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