涓浗绉戝闄㈡暟瀛︿笌绯荤粺绉戝鐮旂┒闄㈡湡鍒婄綉

鏁板瀛︽姤 鈥衡�� 2010, Vol. 53 鈥衡�� Issue (1): 67-74.DOI: 10.12386/A2010sxxb0010

鈥� 璁烘枃 鈥� 涓婁竴绡�    涓嬩竴绡�

Bergman鍨嬬┖闂村埌Bers鍨嬬┖闂翠箣鍔犳潈澶嶅悎绠楀瓙

姹熸不鏉�   

  1. 鍥涘窛鐞嗗伐瀛﹂櫌鏁板绯� 鑷础 643000
  • 鏀剁鏃ユ湡:2008-10-09 淇洖鏃ユ湡:2009-04-09 鍑虹増鏃ユ湡:2010-01-15 鍙戝竷鏃ユ湡:2010-01-30
  • 閫氳浣滆��: 姹熸不鏉�
  • 鍩洪噾璧勫姪:

    鍥涘窛鐪佹暀鑲插巺閲嶇偣鍩洪噾璧勫姪椤圭洰(0720A04)

Weighted Composition Operator from Bergman-Type Spaces into Bers-Type Spaces

Zhi Jie JIANG   

  1. Department of Mathematics, Sichuan University of Science & Engerneering, Zigong 643000, P. R. China
  • Received:2008-10-09 Revised:2009-04-09 Online:2010-01-15 Published:2010-01-30

鎽樿锛�

璁ㄨ浜咮ergman 鍨嬬┖闂�H(p,μ) 鍒癇ers鍨嬬┖闂�Hβ銆佸皬Bers 鍨嬬┖闂�Hβ,0涓婄殑鍔犳潈澶嶅悎绠楀瓙,缁欏嚭浜嗗姞鏉冨鍚堢畻瀛愭湁鐣屾�с�佺揣鎬с�佸急绱ф�х殑鍏呰鏉′欢,浠ュ強绱у鍚堢畻瀛愮殑瑙掑鏁板噯鍒�. 鏈枃杩樿璁轰簡鍏锋湁闂�煎煙鐨勫姞鏉冨鍚堢畻瀛�,寰楀埌浜嗕竴涓厖鍒嗘潯浠�.

 

鍏抽敭璇�: Bergman 鍨嬬┖闂�, Bers鍨嬬┖闂�, 鍔犳潈澶嶅悎绠楀瓙

Abstract:

This paper investigates weighted composition operator from Bergman-type space into Bers-type space, and some necessnary and sufficient conditions of weighted composition operator to be bounded and compact and weak compact are obtained. The paper also gives the angular derivative rule of compactness of weighted composition operators. The paper also talks about weighted composition operator with closed range and a sufficient condition is given.

 

Key words: Bergman-type space, Bers-type space, weighted composition operator

涓浘鍒嗙被鍙�: