Interpolation of abstract Hardy-type spaces

V. A. Borovitsky; S. V. Kislyakov

doi:10.1007/s10958-022-06216-w

Interpolation of abstract Hardy-type spaces

V. A. Borovitsky^*, S. V. Kislyakov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Interpolation theorems are proved for Hardy-type spaces arising form certain uniform algebras more general than weak*-Dirichlet algebras. It is shown that, in a sense, the entire setting is not sensitive to the introduction of a weight. Some generalizations that model the case of two variables are also discussed.

Original language	English
Pages (from-to)	750-772
Number of pages	23
Journal	Journal of Mathematical Sciences (United States)
Volume	268
Issue number	6
DOIs	https://doi.org/10.1007/s10958-022-06216-w
Publication status	Published - 3 Dec 2022

Access to Document

10.1007/s10958-022-06216-w

Cite this

@article{b8061fe431064eb79f36c80b66c3853b,

title = "Interpolation of abstract Hardy-type spaces",

abstract = "Interpolation theorems are proved for Hardy-type spaces arising form certain uniform algebras more general than weak*-Dirichlet algebras. It is shown that, in a sense, the entire setting is not sensitive to the introduction of a weight. Some generalizations that model the case of two variables are also discussed.",

author = "Borovitsky, \{V. A.\} and Kislyakov, \{S. V.\}",

year = "2022",

month = dec,

day = "3",

doi = "10.1007/s10958-022-06216-w",

language = "English",

volume = "268",

pages = "750--772",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer",

number = "6",

}

TY - JOUR

T1 - Interpolation of abstract Hardy-type spaces

AU - Borovitsky, V. A.

AU - Kislyakov, S. V.

PY - 2022/12/3

Y1 - 2022/12/3

N2 - Interpolation theorems are proved for Hardy-type spaces arising form certain uniform algebras more general than weak*-Dirichlet algebras. It is shown that, in a sense, the entire setting is not sensitive to the introduction of a weight. Some generalizations that model the case of two variables are also discussed.

AB - Interpolation theorems are proved for Hardy-type spaces arising form certain uniform algebras more general than weak*-Dirichlet algebras. It is shown that, in a sense, the entire setting is not sensitive to the introduction of a weight. Some generalizations that model the case of two variables are also discussed.

UR - https://www.scopus.com/pages/publications/85148937850

U2 - 10.1007/s10958-022-06216-w

DO - 10.1007/s10958-022-06216-w

M3 - Article

AN - SCOPUS:85148937850

SN - 1072-3374

VL - 268

SP - 750

EP - 772

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

IS - 6

ER -

Interpolation of abstract Hardy-type spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this