TY - JOUR
T1 - A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes
AU - De la Cruz Toranzo, Lianet
AU - García, Arsenio Moreno
AU - García, Tania Moreno
AU - Blaya, Ricardo Abreu
AU - Reyes, Juan Bory
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/2/1
Y1 - 2019/2/1
N2 - We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functions theory behaves invariant on the higher order Lipschitz classes and obtain a Plemelj–Privalov theorem for the related singular integral transform. Moreover, we obtain an upper bound for the norm of such an operator in the pathological case of fractal boundaries.
AB - We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functions theory behaves invariant on the higher order Lipschitz classes and obtain a Plemelj–Privalov theorem for the related singular integral transform. Moreover, we obtain an upper bound for the norm of such an operator in the pathological case of fractal boundaries.
KW - Bimonogenic functions
KW - Cauchy transform
KW - Higher order Lipschitz classes
UR - http://www.scopus.com/inward/record.url?scp=85059572126&partnerID=8YFLogxK
U2 - 10.1007/s00009-018-1280-z
DO - 10.1007/s00009-018-1280-z
M3 - Artículo
AN - SCOPUS:85059572126
SN - 1660-5446
VL - 16
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 1
M1 - 13
ER -