Geodesic
Reflected double layer potentials and Cauchy's operators
Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 295-300

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MR Zbl
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.
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.
DOI : 10.21136/MB.1998.126069
Classification : 30E20, 31A15, 46E10
Keywords: holomorphic function; reflected Cauchy’s operator; reflected double layer potential 
Medková, Dagmar. Reflected double layer potentials and Cauchy's operators. Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 295-300. doi: 10.21136/MB.1998.126069
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