The Aizenberg formula in nonconvex domains and some of its applications. / Rotkevich, A.
In: Journal of Mathematical Sciences, Vol. 182, No. 5, 2012, p. 669-713.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The Aizenberg formula in nonconvex domains and some of its applications
AU - Rotkevich, A.
PY - 2012
Y1 - 2012
N2 - The paper concerns the operator determined by the kernel of the Aizenberg integral representation for holomorphic functions. A special class of domains such that this operator acts from Cα(∂Ω) to Hα(Ω) is introduced. An example of a nonconvex domain that belongs to this class described. Bibliography: 4 titles.
AB - The paper concerns the operator determined by the kernel of the Aizenberg integral representation for holomorphic functions. A special class of domains such that this operator acts from Cα(∂Ω) to Hα(Ω) is introduced. An example of a nonconvex domain that belongs to this class described. Bibliography: 4 titles.
KW - Integral representations
KW - Holder spaces
U2 - 10.1007/s10958-012-0774-7
DO - 10.1007/s10958-012-0774-7
M3 - Article
VL - 182
SP - 669
EP - 713
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 5566553