Estimates of the Besov norms on the fractal boundary and applications

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概要

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• Let u be a λ-Hölder continuous function on the closure of a bounded domain D with fractal boundary ∂ D. We estimate the Besov norm of the restriction of u to ∂ D by the L<SUP>p</SUP>(D)-norm of |∇ u(y)| dist (y, ∂ D)<SUP>λ</SUP> for an adequate λ>0. We apply it to the boundedness of operators related to the double layer potentials on the Besov spaces on ∂ D.

• 社団法人 日本数学会の論文
• 2003-07-01

著者

• Watanabe Hisako

  Graduate School Of Humanities And Sciences Ochanomizu University

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• ESTIMATES OF THE BESOV NORMS ON FRACTAL BOUNDARY BY VOLUME INTEGRALS
• BOUNDARY BEHAVIOR OF DOUBLE LAYER POTENTIALS IN A DOMAIN WITH FRACTAL BOUNDARY
• Estimates of the Besov norms on the fractal boundary and applications

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