On boundary behavior of Cauchy integrals
Annales UMCS, Mathematica (2013)
- Volume: 67, Issue: 1, page 65-82
- ISSN: 2083-7402
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topHiroshige Shiga. "On boundary behavior of Cauchy integrals." Annales UMCS, Mathematica 67.1 (2013): 65-82. <http://eudml.org/doc/268084>.
@article{HiroshigeShiga2013,
abstract = {In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.},
author = {Hiroshige Shiga},
journal = {Annales UMCS, Mathematica},
keywords = {Cauchy integral; Plemelj-Sokthoski theorem; Riemann surface; Plemelj-Sokhotski theorem},
language = {eng},
number = {1},
pages = {65-82},
title = {On boundary behavior of Cauchy integrals},
url = {http://eudml.org/doc/268084},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Hiroshige Shiga
TI - On boundary behavior of Cauchy integrals
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 1
SP - 65
EP - 82
AB - In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
LA - eng
KW - Cauchy integral; Plemelj-Sokthoski theorem; Riemann surface; Plemelj-Sokhotski theorem
UR - http://eudml.org/doc/268084
ER -
References
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