To overcome the unboundedness of the half-plane,we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is boun...To overcome the unboundedness of the half-plane,we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is bounded or compact from standard weighted Bergman spaces to Lebesgue spaces over the halfplane for all index choices.For applications,we obtain direct analytic characterizations of the bounded and compact differences of composition operators on such spaces.This paper concludes with a joint Carleson measure characterization when the difference of composition operators is Hilbert-Schmidt.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11771340 and 11431011)。
文摘To overcome the unboundedness of the half-plane,we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is bounded or compact from standard weighted Bergman spaces to Lebesgue spaces over the halfplane for all index choices.For applications,we obtain direct analytic characterizations of the bounded and compact differences of composition operators on such spaces.This paper concludes with a joint Carleson measure characterization when the difference of composition operators is Hilbert-Schmidt.
