Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Alessandro Monguzzi"'
Publikováno v:
Mediterranean Journal of Mathematics. 20
In this work we consider smooth unbounded worm domains $\mathcal Z_\lambda$ in $\mathbb C^2$ and show that the Bergman projection, densely defined on the Sobolev spaces $H^{s,p}(\mathcal Z_\lambda)$, $p\in(1,\infty)$, $s\ge0$, does not extend to a bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ede68e9b67c76995887b9edeb853de4
https://doi.org/10.1007/s00009-023-02331-3
https://doi.org/10.1007/s00009-023-02331-3
In this work we study what we call Siegel--dissipative vector of commuting operators $(A_1,\ldots, A_{d+1})$ on a Hilbert space $\mathcal H$ and we obtain a von Neumann type inequality which involves the Drury--Arveson space $DA$ on the Siegel upper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7456b9b72f1320ff602d3ddaf8444387
Autor:
Alessandro Monguzzi
The definition of classical holomorphic function spaces such as the Hardy space or the Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natural family of holomorphic function spaces on the Hartogs triangle which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::307cc84d66356d40f8b7eefa4d1e162d
http://hdl.handle.net/10446/200828
http://hdl.handle.net/10446/200828
We introduce and study a family of spaces of entire functions in one variable that generalise the classical Paley–Wiener and Bernstein spaces. Namely, we consider entire functions of exponential type a whose restriction to the real line belongs to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63f1972f3e9fb5f5af660d16d134e0a1
http://hdl.handle.net/10446/202836
http://hdl.handle.net/10446/202836
Publikováno v:
Journal of Functional Analysis. 282:109377
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4cda761e5eed43148ae73eb95fe9efe
https://doi.org/10.1016/j.jfa.2021.109377
https://doi.org/10.1016/j.jfa.2021.109377
We study the fractional Laplacian and the homogeneous Sobolev spaces on R^d , by considering two definitions that are both considered classical. We compare these different definitions, and show how they are related by providing an explicit correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ac6407759e41813021a9f40648d5546
http://arxiv.org/abs/1910.05980
http://arxiv.org/abs/1910.05980
Publikováno v:
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
Concrete Operators, Vol 6, Iss 1, Pp 44-57 (2019)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Universidad Carlos III de Madrid (UC3M)
Concrete Operators, Vol 6, Iss 1, Pp 44-57 (2019)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functions to be inner or outer. The first author is a member of INDAM-GNAMPA
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fab99d868f840fe066e0077455f924f5
http://hdl.handle.net/10281/231558
http://hdl.handle.net/10281/231558
In this paper we study spaces of holomorphic functions on the Siegel upper half-space $${\mathcal U}$$ and prove Paley–Wiener type theorems for such spaces. The boundary of $${\mathcal U}$$ can be identified with the Heisenberg group $${\mathbb H}_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9a32196a869fd718775081259b6f311
http://hdl.handle.net/10446/202830
http://hdl.handle.net/10446/202830
Autor:
Alessandro Monguzzi
Publikováno v:
Journal of Mathematical Analysis and Applications. 436:439-466
We define Hardy spaces Hp(Dβ′), p∈(1,∞), on the non-smooth worm domain Dβ′={(z1,z2)∈C2:|Imz1−log|z2|2|0. Here Wk,p denotes the Sobolev space of order k and underlying Lp norm, p∈(1,∞). As a consequence of the Lp boundedness of S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdd95efa1574313cadfab56f2b3f25b6
https://doi.org/10.1016/j.jmaa.2015.12.012
https://doi.org/10.1016/j.jmaa.2015.12.012
Autor:
Giulia Sarfatti, Alessandro Monguzzi
In this paper we characterize the closed invariant subspaces for the ($*$-)multiplier operator of the quaternionic space of slice $L^2$ functions. As a consequence, we obtain the inner-outer factorization theorem for the quaternionic Hardy space on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed19498d18a8a39396e96f7062f407d7