Results 21 to 30 of about 125,644 (103)
Refinement of Novikov - Betti numbers and of Novikov homology provided by an angle valued map [PDF]
To a pair (X,f), X compact ANR and f a continuous angle valued map defined on X, a fixed field and a nonnegative integer one assigns a finite configuration of complex numbers with multiplicities located in the punctured complex plane and a finite ...
Burghelea, D.
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We provide a sufficient condition for a linear differential operator with constant coefficients $P(D)$ to be surjective on $C^\infty(X)$ and $\mathscr{D}'(X)$, respectively, where $X\subseteq\mathbb{R}^d$ is open.
Kalmes, Thomas
core +1 more source
Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups [PDF]
This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators.
Boggarapu, Pradeep
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Elliptic operators and maximal regularity on periodic little-H\"older spaces
We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions.
LeCrone, Jeremy
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A maximal operator, Carleson's embedding, and tent spaces for vector-valued functions [PDF]
This thesis is concerned with the area of vector-valued Harmonic Analysis, where the central theme is to determine how results from classical Harmonic Analysis generalize to functions with values in an infinite dimensional Banach space. The work consists
Kemppainen, Mikko
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Local spectral radius formulas for a class of unbounded operators on Banach spaces
We exhibit a general class of unbounded operators in Banach spaces which can be shown to have the single-valued extension property, and for which the local spectrum at suitable points can be determined. We show that a local spectral radius formula holds,
Andersen, Nils Byrial, de Jeu, Marcel
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This paper is dedicated to the question of surjectivity of the Cauchy-Riemann operator on spaces $\mathcal{EV}(\Omega,E)$ of $\mathcal{C}^{\infty}$-smooth vector-valued functions whose growth on strips along the real axis with holes $K$ is induced by a ...
Kruse, Karsten
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On the structure of spaces of vector-valued Lipschitz functions
We analyse the strong connections between spaces of vector-valued Lipschitz functions and spaces of linear continuous operators. We apply these links to study duality, Schur properties and norm attainment in the former class of spaces as well as in their
GarcĂa-Lirola, Luis +2 more
core +3 more sources
On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators
In this paper we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1.
Kemppainen, Mikko
core +1 more source
These informal notes are concerned with sums and averages in various situations in analysis.Comment: 51 ...
Semmes, Stephen
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