Parabolic extension of lateral functions in a cylindrical domain

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概要

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• Let D be a bounded domain in R^d such that ∂D is a β-set (d-1≦β<d). We consider a cylindrical domain Ω_T=D×(0, T). Using a decomposition into closed parabolic cubes of (R^d＼∂D)×R of Whitney type, we construct an extension operator ε which extends in functions on the lateral boundary S_D of Ω_T to all of R^<d+1>. We also estimate two "norms" of ε(f) by the Besov norm of f on S_D.

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著者

• Watanabe Hisako

  Graduate School Of Humanities And Sciences Ochanomizu University

関連論文

• ESTIMATES OF THE BESOV NORMS ON FRACTAL LATERAL BOUNDARY BY VOLUME INTEGRALS
• Parabolic extension of lateral functions in a cylindrical domain
• CORRECTION TO "ESTIMATES OF THE BESOV NORMS ON FRACTAL BOUNDARY BY VOLUME INTEGRALS"
• 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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