| Title:
|
The boundedness of two classes of integral operators (English) |
| Author:
|
Wang, Xin |
| Author:
|
Liu, Ming-Sheng |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
475-490 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to characterize the $L^p-L^q$ boundedness of two classes of integral operators from $L^p (\mathcal {U}, {\rm d} V_\alpha )$ to $L^q(\mathcal {U}, {\rm d} V_\beta )$ in terms of the parameters $a$, $b$, $c$, $p$, $q$ and $\alpha $, $\beta $, where $\mathcal {U}$ is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019). (English) |
| Keyword:
|
integral operator |
| Keyword:
|
Siegel upper half-space |
| Keyword:
|
weighted $L^p$ space |
| Keyword:
|
boundedness |
| MSC:
|
47B38 |
| MSC:
|
47G10 |
| idZBL:
|
07361080 |
| idMR:
|
MR4263181 |
| DOI:
|
10.21136/CMJ.2020.0436-19 |
| . |
| Date available:
|
2021-05-20T13:44:14Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148916 |
| . |
| Reference:
|
[1] Furdui, O.: The Fock Space and Related Bergman Type Integral Operators: PhD. Thesis.Western Michigan University, Kalamazoo (2007). MR 2710271 |
| Reference:
|
[2] Furdui, O.: On a class of integral operators.Integral Equations Oper. Theory 60 (2008), 469-483. Zbl 1157.47032, MR 2390439, 10.1007/s00020-008-1572-y |
| Reference:
|
[3] Kures, O., Zhu, K.: A class of integral operators on the unit ball of $\mathbb{C}^n$.Integral Equations Oper. Theory 56 (2006), 71-82. Zbl 1109.47041, MR 2256998, 10.1007/s00020-005-1411-3 |
| Reference:
|
[4] Liu, C., Liu, Y., Hu, P., Zhou, L.: Two classes of integral operators over the Siegel upper half-space.Complex Anal. Oper. Theory 13 (2019), 685-701. Zbl 1421.32011, MR 3940386, 10.1007/s11785-018-0785-6 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[8] Liu, M.-S., Wu, F.: Sharp inequalities of homogeneous expansions of almost starlike mappings of order alpha.Bull. Malays. Math. Sci. Soc. (2) 42 (2019), 133-151. Zbl 1408.32003, MR 3894620, 10.1007/s40840-017-0472-1 |
| Reference:
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| Reference:
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[10] Zhao, R.: Generalization of Schur's test and its application to a class of integral operators on the unit ball of $\mathbb{C}^n$.Integral Equations Oper. Theory 82 (2015), 519-532. Zbl 1319.47041, MR 3369311, 10.1007/s00020-014-2215-0 |
| Reference:
|
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| Reference:
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| . |
