@article{oai:teapot.lib.ocha.ac.jp:00034632, author = {Watanabe, Hisako}, issue = {2}, journal = {お茶の水女子大學自然科學報告}, month = {Jan}, note = {application/pdf, 紀要論文, Let M_α be the fractional maximal operator in a quasi-metric space X. We will prove that M_α is bounded from the Choquet space L^p (H^η_∞) with respect to the η-Hausdorff capacity H^η_∞ to the Choquet space L^ (H^δ_∞) of Lorentz type with respect to the δ-Hausdorff capacity for some δ. To prove it, we use the Choquet integrals with respect to Hausdorff capacities and the dyadic balls introduced by E. Sawyer and R.L. Wheeden.}, pages = {21--31}, title = {Estimates of fractional maximal functions in a quasi-metric space}, volume = {56}, year = {2006} }