TY - JOUR
T1 - Hilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes
AU - Bory-Reyes, Juan
AU - Abreu-Blaya, Ricardo
AU - Pérez-de la Rosa, Marco Antonio
AU - Schneider, Baruch
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2021/7
Y1 - 2021/7
N2 - In the present work we obtain some analogues of the Hilbert formulas on the unit circle for iterated Cauchy-Riemann operator in one-dimensional complex analysis involving higher order Lipschitz classes. Furthermore, a Poincaré-Bertrand formula related to the corresponding singular iterated Cauchy integral over the boundary of a smoothly bounded domain is derived also involving higher order Lipschitz classes.
AB - In the present work we obtain some analogues of the Hilbert formulas on the unit circle for iterated Cauchy-Riemann operator in one-dimensional complex analysis involving higher order Lipschitz classes. Furthermore, a Poincaré-Bertrand formula related to the corresponding singular iterated Cauchy integral over the boundary of a smoothly bounded domain is derived also involving higher order Lipschitz classes.
KW - Higher order Lipschitz classes
KW - Hilbert formulas
KW - Iterated Cauchy-Riemann operator
KW - Poincaré-Bertrand formula
UR - http://www.scopus.com/inward/record.url?scp=85110497121&partnerID=8YFLogxK
U2 - 10.1007/s11785-021-01140-4
DO - 10.1007/s11785-021-01140-4
M3 - Artículo
AN - SCOPUS:85110497121
SN - 1661-8254
VL - 15
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 5
M1 - 94
ER -