ESTIMATES OF THE BESOV NORMS ON FRACTAL LATERAL BOUNDARY BY VOLUME INTEGRALS
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概要
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Consider a bounded domain D with fractal boundary in R^d such that ∂D is a β-set (d-1≦β<d). Under an additional condition we estimate the L^p-norm and the Besov norms with respect to the parabolic metric on the lateral boundary of the cylinder D×(0, T) by the L^p-norm and the Besov norms defined by the volume integrals, respectively.
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