Zobrazeno 1 - 10
of 698
pro vyhledávání: '"46E40"'
Autor:
Gmeineder, Franz, Schiffer, Stefan
We establish the first extension results for divergence-free (or solenoidal) elements of $\mathrm{L}^{1}$-based function spaces. Here, the key point is to preserve the solenoidality constraint while simultaneously keeping the underlying $\mathrm{L}^{
Externí odkaz:
http://arxiv.org/abs/2408.04513
Autor:
Chen, Deliang
The Machado--Bishop theorem for weighted vector-valued functions vanishing at infinity has been extensively studied. In this paper, we give an analogue of Machado's distance formula for bounded weighted vector-valued functions. A number of applicatio
Externí odkaz:
http://arxiv.org/abs/2407.19925
Autor:
Sarkar, Srijan
In this paper, we study partially isometric Toeplitz operators $T_{\Phi}$ on Hilbert space-valued Hardy spaces $H_{\mathcal{E}}^2(\mathbb{D}^n)$ over the unit polydisc. We establish the following crucial phenomenon: the range of partially isometric T
Externí odkaz:
http://arxiv.org/abs/2407.10609
We construct a smooth Banach manifold BV$([a,b], M)$ whose elements are suitably-defined functions $f:[a,b] \rightarrow M$ of bounded variation with values in a smooth Banach manifold $M$ which admits a local addition. If the target manifold is a Ban
Externí odkaz:
http://arxiv.org/abs/2407.05190
Autor:
Bai, Tengfei, Xu, Jingshi
In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that the dyadic average operator is bounded on some matrix weighted Bourga
Externí odkaz:
http://arxiv.org/abs/2406.11531
Autor:
Mensah, Yaogan
This paper deals with a class of Sobolev spaces of vector-valued functions on a compact group. Some Sobolev embedding theorems are proved.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2406.10191
Autor:
Mahapatra, Subhankar, Sarkar, Santanu
Publikováno v:
Results in Mathematics, Published on 23 August, 2024
This paper discusses an abstract Kramer sampling theorem for functions within a reproducing kernel Hilbert space (RKHS) of vector valued holomorphic functions. Additionally, we extend the concept of quasi Lagrange-type interpolation for functions wit
Externí odkaz:
http://arxiv.org/abs/2405.20317
Autor:
Melnikov, Vasily
Let $E$ be a Banach space such that $E'$ has the Radon-Nikod\'ym property. The aim of this work is to connect relative weak compactness in the $E$-valued martingale Hardy space $H^{1}(\mu,E)$ to a convex compactness criterion in a weaker topology, su
Externí odkaz:
http://arxiv.org/abs/2404.13416
Douglas-Rudin Approximation theorem for operator-valued functions on the unit ball of $\mathbb{C}^d$
Douglas and Rudin proved that any unimodular function on the unit circle $\T$ can be uniformly approximated by quotients of inner functions. We extend this result to the operator-valued unimodular functions defined on the boundary of the open unit ba
Externí odkaz:
http://arxiv.org/abs/2403.16401
We prove that the spaces of smooth and ultradifferentiable vectors associated with a representation of a real Lie group on a Fr\'{e}chet space $E$ are quasinormable if $E$ is so. A similar result is shown to hold for the linear topological invariant
Externí odkaz:
http://arxiv.org/abs/2403.08296