Extensions of the Hardy and the Bergman modules over the disc algebra are studied. The author relates extensions of these canonical modules to the symbol spaces of corresponding Hankel operators. In the context of fun...Extensions of the Hardy and the Bergman modules over the disc algebra are studied. The author relates extensions of these canonical modules to the symbol spaces of corresponding Hankel operators. In the context of function theory, an explicit formula of Ext(L_a^2(D), H^2 (D)) is obtained. Finally, it is also proved that Ext(L_a^2(D), L:(D)) ≠0.This may be the essential difference between the Hardy and the Bergman modules over the disk algebra.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.10571112, 60673105(国家自然科学基金)the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China(高等学校优秀 青年教师教学科研奖励计划)the National Basic Research Program of China under Grant No.2002CB312200(国家重点基础研究发展 计划(973))
基金National Natural Science Foundation of China Mathematics Center of the Ministry of Education of ChinaLaboratory of Mathe
文摘Extensions of the Hardy and the Bergman modules over the disc algebra are studied. The author relates extensions of these canonical modules to the symbol spaces of corresponding Hankel operators. In the context of function theory, an explicit formula of Ext(L_a^2(D), H^2 (D)) is obtained. Finally, it is also proved that Ext(L_a^2(D), L:(D)) ≠0.This may be the essential difference between the Hardy and the Bergman modules over the disk algebra.
