Potential Operators in Weighted Herz-Type Spaces over Locally Compact Vilenkin Groups |
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Authors: | T Kitada D Yang |
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Institution: | (1) DEPARTMENT OF MATHEMATICS, FACULTY OF EDUCATION, HIROSAKI UNIVERSITY, HIROSAKI, 036-8560, JAPAN;(2) DEPARTMENT OF MATHEMATICS, BEIJING NORMAL UNIVERSITY, 100875 BEIJING, PEOPLE'S REPUBLIC OF CHINA |
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Abstract: | Let G be a bounded locally compact Vilenkin group. We study the boundedness of potential operators and the maximal operators associated
with them in the weighted Herz space, the weighted Hardy space and the weighted Herz-type Hardy space over G. We also discuss the boundedness of these operators on the weighted weak Lebesgue space and the weighted weak Herz space
whose sharpness are also discussed.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | |
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