Zobrazeno 1 - 10
of 105
pro vyhledávání: '"46E99"'
In this work, we obtain the Helmholtz decomposition for vector fields in Morrey, Zorko, and block spaces over bounded or exterior $C^{1}$ domains. Generally speaking, our proofs rely on a careful interplay of localization, flattening, and duality arg
Externí odkaz:
http://arxiv.org/abs/2411.12143
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 53-63 (2024)
In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by ⟨p,q⟩S≔∫0∞p*(x)WLA(x)q(x)dx+M∫0∞(p′(x))*W(x)q′(x)dx,{\l
Externí odkaz:
https://doaj.org/article/012ed369711d418f86e4bb9de99dc7c7
Autor:
Skrepek, Nathanael
We generalize the notion of Gelfand triples (also called Banach-Gelfand triples or rigged Hilbert spaces) by dropping the necessity of a continuous embedding. This means in our setting we lack of a chain inclusion. We replace the continuous embedding
Externí odkaz:
http://arxiv.org/abs/2301.04610
The aim of the paper is to characterize (pre)compactness in the spaces of Lipschitz/H\"older continuous mappings acting from a compact metric space to a normed space. To this end some extensions and generalizations of already existing compactness cri
Externí odkaz:
http://arxiv.org/abs/2205.04543
Autor:
Deterding, Stephen
Let $X$ be a compact subset of the complex plane and let $R^p(X)$, $2< p < \infty$, denote the closure of the rational functions with poles off $X$ in the $L^p$ norm. In this paper we consider three conditions that show how the functions in $R^p(X)$
Externí odkaz:
http://arxiv.org/abs/2108.02543
Autor:
Chargaziya, Georgy, Daletskii, Alexei
A stochastic differential equation with coefficients defined in a scale of Hilbert spaces is considered. The existence, uniqueness and path-continuity of infinite-time solutions is proved by an extension of the Ovsyannikov method. This result is appl
Externí odkaz:
http://arxiv.org/abs/2107.11875
Autor:
Terjék, Dávid
We propose a family of extensions of the Kantorovich-Rubinstein norm from the space of zero-charge countably additive measures on a compact metric space to the space of all countably additive measures, and a family of extensions of the Lipschitz norm
Externí odkaz:
http://arxiv.org/abs/2107.02725
Autor:
Basso, Giuliano
Publikováno v:
Stud. Math. 264, No. 3, 335-359 (2022)
We prove that the absolute extendability constant of a finite metric space may be determined by computing relative projection constants of certain Lipschitz-free spaces. As an application, we show that $\mbox{ae}(3)=4/3$ and $\mbox{ae}(4)\geq (5+4\sq
Externí odkaz:
http://arxiv.org/abs/2104.14238
We introduce the concept of TRAP (Traces and Permutations), which can roughly be viewed as a wheeled PROP (Products and Permutations) without unit. TRAPs are equipped with a horizontal concatenation and partial trace maps. Continuous morphisms on an
Externí odkaz:
http://arxiv.org/abs/2103.00855
We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integral quantizations, and affine quadratic time-frequency representations.
Externí odkaz:
http://arxiv.org/abs/2102.13006