An Hp scale for complete Pick spaces
(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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/425a1a9c-294e-45ca-8e0e-ea107756d4c6
- author
- Aleman, Alexandru LU ; Hartz, Michael ; McCarthy, John E. and Richter, Stefan
- organization
- publishing date
- 2021
- type
- Contribution to journal
- publication status
- published
- subject
- 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
- 2025-01-13 11:57:53
@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}}, }