@article{oai:teapot.lib.ocha.ac.jp:00034636,
 author = {Watanabe, Hisako},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Sep},
 note = {application/pdf, 紀要論文, Consider a cylindrical domain Ω_D=D×(0, T), where D is a bounded domain with fractal boundary in R^d. Let μ be a λ-Holder continuous function on Ω_D with respect to the parabolic metric ρ. We estimate the Besov norm of the restriction of μ to S_D=∂D×[0, T] by the L^p(Ω_D)-norm of the sum of |▽_yμ(Y)|dist(Y, S_D)^<λ_1> and |D_<d+1>μ(Y)|dist(Y, S_D)^<λ_2> for suitable λ_1 and λ_2. We apply it to show the boundedness of an operator on the Besov space on S_D and use the result to prove the boundedness of the operator with respect to the double layer heat potentials. 2000 Mathematics Subject Classification : Primary 46E35, 31B15},
 pages = {9--33},
 title = {Estimates of the Besov norm on a bounded fractal lateral boundary and the boundedness of operators},
 volume = {56},
 year = {2005}
}