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CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE: CONFORMALLY COVARIANT OPERATORS
CONFORMAL INVARIANTS ASSOCIATED MEASURE CONFORMALLY COVARIANT OPERATORS
2014/4/3
In this paper we study Riemannian manifolds (Mn, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling...
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
Hardy Spaces $H_L^p({\mathbb R}^n)$ Associated to Operators Satisfying $k$-Davies-Gaffney Estimates
Hardy space Hardy-Sobolev space k-Davies-Gaffney estimate Schrodinger type operator
2011/9/21
Abstract: Let $L$ be a one to one operator of type $\omega$ having a bounded $H_\infty$ functional calculus and satisfying the $k$-Davies-Gaffney estimates with $k\in{\mathbb N}$. In this paper, the a...
Endpoint Boundedness of Riesz Transforms on Hardy Spaces Associated with Operators
Riesz transform Davies-Gaffney estimate Schrodinger operator second order elliptic operator Hardy space
2011/9/21
Abstract: Let $L_1$ be a nonnegative self-adjoint operator in $L^2({\mathbb R}^n)$ satisfying the Davies-Gaffney estimates and $L_2$ a second order divergence form elliptic operator with complex bound...
Exceptional sets of projections, unions of k-planes, and associated transforms
dimension projection k-plane Fourier transform
2011/9/20
Abstract: We prove a generalization of a result of Peres and Schlag on the dimensions of certain exceptional sets of projections and then apply it to a geometric problem.
Vanishing Mean Oscillation Spaces Associated with Operators Satisfying Davies-Gaffney Estimates
metric measure space operator bounded H∞ functional calculus DaviesGaffney estimate Orlicz function
2011/9/19
Abstract: Let $(\mathcal{X}, d, \mu)$ be a metric measure space, $L$ a linear operator which has a bounded $H_\infty$ functional calculus and satisfies the Davies-Gaffney estimate, $\Phi$ a concave fu...
Orlicz-Hardy Spaces Associated with Divergence Operators on Unbounded Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Neumann boundary condition Gaussian property
2011/9/9
Abstract: Let $\Omega$ be either $\mathbb{R}^n$ or an unbounded strongly Lipschitz domain of $\mathbb{R}^n$, and $\Phi$ be a continuous, strictly increasing, subadditive and positive function on $(0,\...
Deformation of algebras associated to group cocycles
deformation Fell bundle K-theory Operator Algebras
2011/9/5
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...
Convergence of operator-semigroups associated with generalised elliptic forms
Elliptic sesquilinear forms Semigroup convergence Gibbs semigroups Minimax principle Schatten classes
2011/8/26
Abstract: In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form...
Algebra of differential operators associated with Young diagrams
Algebra of differential operators Young diagrams
2011/1/17
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
2011/2/28
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a
family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
Abstract Wave Equations and Associated Dirac-Type Operators
Dirac operators supersymmetry wave equations semigroups
2011/2/25
We discuss the unitary equivalence of generators GA,R associated with abstract damped wave equations of the type u¨+Ru˙ +AAu = 0 in some Hilbert space H1 and certain non-self-adjoint Dirac-type opera...
K-theory associated to vertex operator algebras
K-theory associated vertex operator algebras
2018/4/20
We introduce two K-theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algebras. We verify the coh...