We characterize non-negative measures μ on the unit disk D for which the area operator A μ is bounded or compact from Hardy space H p to L q (D) spaces.
In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a co...In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a corollary,we get the compactness of those operators.展开更多
基金supported by Guizhou University (Grant No. 2006-18-X065021)Guizhou Department of Science and Technology+1 种基金 Guizhou Department of Education (Pei Yu), National Natural Sciencefoundation of China (Grant Nos. 10771130, 70571018)Specialized Research Fund for the Doctoral Programof High Education (Grant No. 2007056004)
文摘We characterize non-negative measures μ on the unit disk D for which the area operator A μ is bounded or compact from Hardy space H p to L q (D) spaces.
基金supported by National Natural Science Foundation of China(Grant Nos.11171203 and 11201280)Research Fund for the Doctoral Program of Higher Education of China(Grant No.20114402120003)National Science Foundation of Guangdong Province(Grant Nos.10151503101000025 and S2011010004511)
文摘In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a corollary,we get the compactness of those operators.
