@article{oai:soar-ir.repo.nii.ac.jp:00012030, author = {MATSUGU, Yasuo}, issue = {2}, journal = {信州大学理学部紀要}, month = {Mar}, note = {Let B denote the unit ball in Cⁿ, and ν the normalized Lebesgue measure on B. For α>-1, define dνα(z) = (1-|z|²)αdν(z), z∈B. Let H(B) denote the space of all holomorphic functions in B. G.Benke and D.-C. Chang [1] have recently characterized the weighted Bergman spaces Ap(νa)≡Lp(νa)∩H(B) as those functions in H(B) whose images under the action of a certain set of differential operators lie in Lp(νa). In the present paper we introduce some new operators and give another proof of their theorem., Article, 信州大学理学部紀要 34(2): 69-79(2000)}, pages = {69--79}, title = {On a Theorem of G. Benke and D.-C. Chang}, volume = {34}, year = {2000} }