Let M f be the Kakeya maximal function in d-dimensional Euclidean space, with same base consisting of cylinders of eccentricity N. The inequality shoum for a base satisfying a direction condition, where ?and c are con...Let M f be the Kakeya maximal function in d-dimensional Euclidean space, with same base consisting of cylinders of eccentricity N. The inequality shoum for a base satisfying a direction condition, where ?and c are constants depending only on d.展开更多
IT was 20 years ago. When firecrackers started popping in the village on the eve of the New Year, many families prepared to worship Buddha. Our family was no exception. Father was ill and hospitalized in a remote town...IT was 20 years ago. When firecrackers started popping in the village on the eve of the New Year, many families prepared to worship Buddha. Our family was no exception. Father was ill and hospitalized in a remote town. Mother cleaned the old-fashioned square table carefully, and placed it in the courtyard. She put 12 small wine cups on the table and filled each one halfway with wine. Then she arranged chicken, pork and fish at the center展开更多
基金The author is partly supported by the Grants-in-Aid for Scientific Reseach,The Ministry of Educa-ion,Science and Culture,Japan.
文摘Let M f be the Kakeya maximal function in d-dimensional Euclidean space, with same base consisting of cylinders of eccentricity N. The inequality shoum for a base satisfying a direction condition, where ?and c are constants depending only on d.
文摘IT was 20 years ago. When firecrackers started popping in the village on the eve of the New Year, many families prepared to worship Buddha. Our family was no exception. Father was ill and hospitalized in a remote town. Mother cleaned the old-fashioned square table carefully, and placed it in the courtyard. She put 12 small wine cups on the table and filled each one halfway with wine. Then she arranged chicken, pork and fish at the center