Reflected double layer potentials and Cauchy's operators
Mathematica Bohemica (1998)
- Volume: 123, Issue: 3, page 295-300
- ISSN: 0862-7959
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topMedková, Dagmar. "Reflected double layer potentials and Cauchy's operators." Mathematica Bohemica 123.3 (1998): 295-300. <http://eudml.org/doc/248297>.
@article{Medková1998,
abstract = {Necessary and sufficient conditions are given for the reflected Cauchy's operator (the reflected double layer potential operator) to be continuous as an operator from the space of all continuous functions on the boundary of the investigated domain to the space of all holomorphic functions on this domain (to the space of all harmonic functions on this domain) equipped with the topology of locally uniform convergence.},
author = {Medková, Dagmar},
journal = {Mathematica Bohemica},
keywords = {holomorphic function; reflected Cauchy’s operator; reflected double layer potential; holomorphic function; reflected Cauchy's operator; reflected double layer potential},
language = {eng},
number = {3},
pages = {295-300},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reflected double layer potentials and Cauchy's operators},
url = {http://eudml.org/doc/248297},
volume = {123},
year = {1998},
}
TY - JOUR
AU - Medková, Dagmar
TI - Reflected double layer potentials and Cauchy's operators
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 3
SP - 295
EP - 300
AB - Necessary and sufficient conditions are given for the reflected Cauchy's operator (the reflected double layer potential operator) to be continuous as an operator from the space of all continuous functions on the boundary of the investigated domain to the space of all holomorphic functions on this domain (to the space of all harmonic functions on this domain) equipped with the topology of locally uniform convergence.
LA - eng
KW - holomorphic function; reflected Cauchy’s operator; reflected double layer potential; holomorphic function; reflected Cauchy's operator; reflected double layer potential
UR - http://eudml.org/doc/248297
ER -
References
top- E. Dontová M. Dont J. Král, Reflection and a mixed boundary value problem concerning analytic functions, Math. Bohem. 122 (1997), 317-336. (1997) MR1600664
- H. Federer, Geometric Measure Theory, Springer-Vєrlag, Berlin, 1969. (1969) Zbl0176.00801MR0257325
- J. Král, Integral Operators in Potential Theory, Lecture Notes in Mathematics 823, Springer-Verlag, Berlin, 1980. (1980) MR0590244
- S. Saks, Theory of the Integral, Dover Publications, New York, 1964. (1964) MR0167578
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