This paper deals with spectral assertions of Riesz potentials in some classes of quasimetric spaces. In addition we survey briefly a few related subjects: integral operators, local means and function spaces, euclidean charts of quasi-metric spaces, relations to fractal geometry.
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 Xinjiekouwai St, Beijing 100875, Haidian, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 Xinjiekouwai St, Beijing 100875, Haidian, Peoples R China
Liu, Yi
Yuan, Wen
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 Xinjiekouwai St, Beijing 100875, Haidian, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 Xinjiekouwai St, Beijing 100875, Haidian, Peoples R China
机构:
Tokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, JapanTokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan
Sawano, Yoshihiro
Shimomura, Tetsu
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Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, JapanTokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan