The boundedness of two classes of integral operators

Wang, Xin, and Liu, Ming-Sheng. "The boundedness of two classes of integral operators." Czechoslovak Mathematical Journal 71.2 (2021): 475-490. <http://eudml.org/doc/297636>.

@article{Wang2021,
abstract = {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).},
author = {Wang, Xin, Liu, Ming-Sheng},
journal = {Czechoslovak Mathematical Journal},
keywords = {integral operator; Siegel upper half-space; weighted $L^p$ space; boundedness},
language = {eng},
number = {2},
pages = {475-490},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The boundedness of two classes of integral operators},
url = {http://eudml.org/doc/297636},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Wang, Xin
AU - Liu, Ming-Sheng
TI - The boundedness of two classes of integral operators
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 2
SP - 475
EP - 490
AB - 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).
LA - eng
KW - integral operator; Siegel upper half-space; weighted $L^p$ space; boundedness
UR - http://eudml.org/doc/297636
ER -