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An Hp scale for complete Pick spaces

Aleman, Alexandru LU ; Hartz, Michael ; McCarthy, John E. and Richter, Stefan (2021) In Studia Mathematica 258(3). p.343-359
Abstract

We define by interpolation a scale analogous to the Hardy Hp scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call Hp. In particular, we obtain an Hp-Hq duality and establish sharp pointwise estimates for functions in Hp

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
keywords
Drury-Arveson space, H space, Hankel operator, Interpolation space, Nevanlinna-Pick kernel, Reproducing kernel Hilbert space
in
Studia Mathematica
volume
258
issue
3
pages
17 pages
publisher
Instytut Matematyczny
external identifiers
  • scopus:85109438371
ISSN
0039-3223
DOI
10.4064/SM200514-18-9
language
English
LU publication?
yes
id
425a1a9c-294e-45ca-8e0e-ea107756d4c6
date added to LUP
2021-08-23 10:42:15
date last changed
2025-04-04 02:33:48
@article{425a1a9c-294e-45ca-8e0e-ea107756d4c6,
  abstract     = {{<p>We define by interpolation a scale analogous to the Hardy H<sup>p</sup> scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call H<sup>p</sup>. In particular, we obtain an H<sup>p</sup>-H<sup>q</sup> duality and establish sharp pointwise estimates for functions in H<sup>p</sup></p>}},
  author       = {{Aleman, Alexandru and Hartz, Michael and McCarthy, John E. and Richter, Stefan}},
  issn         = {{0039-3223}},
  keywords     = {{Drury-Arveson space; H space; Hankel operator; Interpolation space; Nevanlinna-Pick kernel; Reproducing kernel Hilbert space}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{343--359}},
  publisher    = {{Instytut Matematyczny}},
  series       = {{Studia Mathematica}},
  title        = {{An Hp scale for complete Pick spaces}},
  url          = {{http://dx.doi.org/10.4064/SM200514-18-9}},
  doi          = {{10.4064/SM200514-18-9}},
  volume       = {{258}},
  year         = {{2021}},
}