TY - JOUR
T1 - Bergman theory for the inhomogeneous Cimmino system
AU - González-Cervantes, José Oscar
AU - Arroyo-Sánchez, Dante
AU - Bory-Reyes, Juan
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2023/2/1
Y1 - 2023/2/1
N2 - We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.
AB - We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.
KW - Bergman spaces
KW - Cimmino system
KW - Conformally covariant and invariant properties
KW - Reproducing kernel
UR - http://www.scopus.com/inward/record.url?scp=85138594617&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2022.126681
DO - 10.1016/j.jmaa.2022.126681
M3 - Artículo
AN - SCOPUS:85138594617
SN - 0022-247X
VL - 518
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
M1 - 126681
ER -