In this paper, we study function spaces defined via dyadic energies on the boundaries of regular trees. We show that correct choices of dyadic energies result in Besov-type spaces that are trace spaces of (weighted) first order Sobolev spaces.
机构:
City Univ Zhengzhou, Dept Basic Sci, Zhengzhou 452370, Henan, Peoples R ChinaCity Univ Zhengzhou, Dept Basic Sci, Zhengzhou 452370, Henan, Peoples R China
Li, Dongxia
Yang, Liu
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Shanxi Xuegian Normal Univ, Sch Math & Stat, Xian 710100, Peoples R ChinaCity Univ Zhengzhou, Dept Basic Sci, Zhengzhou 452370, Henan, Peoples R China
机构:
Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, JapanBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Sawano, Yoshihiro
Yang, Dachun
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Yang, Dachun
Yuan, Wen
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
机构:
Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
Yang Da-chun
Yuan Wen
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Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China
Karlsruhe Inst Technol, Inst Anal, D-76128 Karlsruhe, GermanyBeijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China