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초록· 키워드
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We compute the holomorphic derivative of the harmonic measure
associated to a $C^\infty$ bounded domain in the plane and show that
the exact Bergman kernel function associated to a $C^\infty$ bounded
domain in the plane relates the derivatives of the Ahlfors map and
the Szeg\H o kernel in an {\it explicit} way. We find several
formulas for the exact Bergman kernel and the Szeg\H o kernel and
the harmonic measure. Finally we survey some other properties of the
holomorphic derivative of the harmonic measure.
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참고문헌 (12)
참고문헌 신청
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/ 1972. / Memoirs of the American Mathematical Society
/ 1986 / Special issue on numerical conformalmapping. J. Comput. Appl. Math. : 111 ~
/ 1986 / \it An efficient implementation of a conformalmapping method based on the Szeg\H o kernel} : 853 ~
/ 1988 / \it Theory of reproducing kernels and itsapplications} Pitman Research Notes in Mathematics Series
/ 1972. / Memoirs of the American Mathematical Society
/ 1986 / Special issue on numerical conformalmapping. J. Comput. Appl. Math. : 111 ~
/ 1986 / \it An efficient implementation of a conformalmapping method based on the Szeg\H o kernel} : 853 ~
/ 1988 / \it Theory of reproducing kernels and itsapplications} Pitman Research Notes in Mathematics Series
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