Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Bërdëllima, A."'
Autor:
Bërdëllima, Arian, Braha, Naim L.
Given an infinite matrix $M=(m_{nk})$ we study a family of sequence spaces $\ell_M^p$ associated with it. When equipped with a suitable norm $\|\cdot\|_{M,p}$ we prove some basic properties of the Banach spaces of sequences $(\ell_M^p,\|\cdot\|_{M,p}
Externí odkaz:
http://arxiv.org/abs/2310.12030
Autor:
Bërdëllima, Arian
We show that in a locally compact complete $CAT(0)$ space satisfying positive angles property and a disintegration regularity for its canonical Hausdorff measure, there exists a unique optimal transport map that push-forwards a given absolutely conti
Externí odkaz:
http://arxiv.org/abs/2303.02082
Autor:
Bërdëllima, Arian, Braha, Naim L.
In this note we show that the Taylor series of a function in a weighted Dirichlet space is (generalized) N\"orlund summable, provided that the sequence determining the N\"orlund operator is non-decreasing and has finite upper growth rate. In particul
Externí odkaz:
http://arxiv.org/abs/2212.03341
Autor:
Bërdëllima, Arian
Publikováno v:
A. B\"erd\"ellima, Investigations in Hadamard spaces, Ph.D. thesis, Georg-August-Universit\"at G\"ottingen, G\"ottingen, Germany, 2020, https://ediss.uni-goettingen.de/handle/21.11130/00-1735-0000-0008-58F4-2
We investigate if an existing notion of weak sequential convergence in a Hadamard space can be induced by a topology. We provide an answer on what we call weakly proper Hadamard spaces. A notion of dual space is proposed and it is shown that our weak
Externí odkaz:
http://arxiv.org/abs/2204.01461
Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze two such t
Externí odkaz:
http://arxiv.org/abs/2204.01291
Autor:
Bërdëllima, Arian, Steidl, Gabriele
This paper introduces the concept of quasi $\alpha$-firmly nonexpansive mappings in Wasserstein spaces over $\mathbb R^d$ and analyzes properties of these mappings. We prove that for quasi $\alpha$-firmly nonexpansive mappings satisfying a certain qu
Externí odkaz:
http://arxiv.org/abs/2203.04851
Autor:
Bërdëllima, Arian
We study the closure of the convex hull of a compact set in a complete CAT(0) space. First we give characterization results in terms of compact sets and the closure of their convex hulls for locally compact CAT(0) spaces that are either regular or sa
Externí odkaz:
http://arxiv.org/abs/2109.06002
Principal curves are natural generalizations of principal lines arising as first principal components in the Principal Component Analysis. They can be characterized from a stochastic point of view as so-called self-consistent curves based on the cond
Externí odkaz:
http://arxiv.org/abs/2108.00227
Autor:
Bërdëllima, Arian
In 1999 Khabibullin established the best estimate in Paley problem for a plurisubharmonic function $u$ of finite lower order $0\leq\rho\leq 1$. For $\rho>1$ obtaining a sharp estimate has remained an open question. In this work we solve this problem.
Externí odkaz:
http://arxiv.org/abs/2105.04275
We extend to $p$-uniformly convex spaces tools from the analysis of fixed point iterations in linear spaces. This study is restricted to an appropriate generalization of single-valued, pointwise $\alpha$-averaged mappings. Our main contribution is es
Externí odkaz:
http://arxiv.org/abs/2104.11302