Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Chalmoukis, Nikolaos"'
Autor:
Arcozzi, Nicola, Chalmoukis, Nikolaos
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G6, Pp 679-685 (2022)
We study the Riesz $(a,p)$-capacity of the so called Dobiński set. We characterize the values of the parameters $a$ and $p$ for which the $(a,p)$-Riesz capacity of the Dobiński set is positive. In particular we show that the Dobiński set has posit
Externí odkaz:
https://doaj.org/article/99f57654464f4d848630662263df4f4f
We study the boundedness and compactness properties of the generalized integration operator $T_{g,a}$ when it acts between distinct Hardy spaces in the unit disc of the complex plane. This operator has been introduced by the first author in connectio
Externí odkaz:
http://arxiv.org/abs/2405.13920
We give a capacitary type characterization of Carleson measures for a class of Hardy-Sobolev spaces (also known as weighted Dirichlet spaces) on the Siegel upper half-space, introduced by Arcozzi et al. This answers in part a question raised by the s
Externí odkaz:
http://arxiv.org/abs/2405.12576
We study the Kolmogorov 0-1 law for a random sequence with prescribed radii so that it generates a Carleson measure almost surely, both for the Hardy space on the polydisc and the Hardy space on the unit ball, thus providing improved versions of prev
Externí odkaz:
http://arxiv.org/abs/2402.13645
Given a probability space $(X,\mu)$, a square integrable function $f$ on such space and a (unilateral or bilateral) shift operator $T$, we prove under suitable assumptions that the ergodic means $N^{-1}\sum_{n=0}^{N-1} T^nf$ converge pointwise almost
Externí odkaz:
http://arxiv.org/abs/2312.08922
For a finite, positive, Borel measure $\mu$ on $(0,1)$ we consider an infinite matrix $\Gamma_\mu$, related to the classical Hausdorff matrix defined by the same measure $\mu$, in the same algebraic way that the Hilbert matrix is related to the Ces\'
Externí odkaz:
http://arxiv.org/abs/2307.15334
We characterize simply interpolating sequences (also known as onto interpolating sequences) for complete Pick spaces. We show that a sequence is simply interpolating if and only if it is strongly separated. This answers a question of Agler and McCart
Externí odkaz:
http://arxiv.org/abs/2306.13602
Autor:
Chalmoukis, Nikolaos
We study simply interpolating sequences for the Dirichlet space in the unit disc. In particular we are interested in comparing three different sufficient conditions for simply interpolating sequences. The first one is the the so called one box condit
Externí odkaz:
http://arxiv.org/abs/2111.05050
Autor:
Arcozzi, Nicola, Chalmoukis, Nikolaos
Publikováno v:
Comptes Rendus. Math\'ematique, Volume 360 (2022), pp. 679-685
We study the Riesz $(a,p)$-capacity of the so called Dobi\'nski set. We characterize the values of the parameters $a$ and $p$ for which the $(a,p)$-Riesz capacity of the Dobi\'nski set is positive. In particular we show that the Dobi\'nski set has po
Externí odkaz:
http://arxiv.org/abs/2110.13657
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 657-714
We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main scope is to survey known characterizations (and proofs) for trace measures, as well as to provide some new ones. Also for some of the known characteri
Externí odkaz:
http://arxiv.org/abs/2110.05450