Bergman type operators are closely related to many basic problems on operator theory and function space theory.In this paper,we characterize the boundedness of logarithmic Bergman type operator T_(λτc,k,k′)from L^(...Bergman type operators are closely related to many basic problems on operator theory and function space theory.In this paper,we characterize the boundedness of logarithmic Bergman type operator T_(λτc,k,k′)from L^(p)(B_(n),dv_(α))to L^(q)(B_(n),dv_(β))for some 1≤p,q≤+∞ and real α,β.These results generalize the relevant work of some scholars.At the same time,we partially solve the problem,put forward by Chen et al.in JMAA(2024).展开更多
基金supported by the Education Department Important Foundation of Hunan Province in China(23A0095).
文摘Bergman type operators are closely related to many basic problems on operator theory and function space theory.In this paper,we characterize the boundedness of logarithmic Bergman type operator T_(λτc,k,k′)from L^(p)(B_(n),dv_(α))to L^(q)(B_(n),dv_(β))for some 1≤p,q≤+∞ and real α,β.These results generalize the relevant work of some scholars.At the same time,we partially solve the problem,put forward by Chen et al.in JMAA(2024).
