In this paper, we study composition operators on weighted Bergman spaces of Dirichlet series. We first establish some Littlewood-type inequalities for generalized mean counting functions. Then we give sufficient conditions for a composition operator with zero characteristic to be bounded or compact on weighted Bergman spaces of Dirichlet series. The corresponding sufficient condition for compactness in the case of positive characteristics is also obtained.
Min HE
,
Maofa WANG
,
Jiale CHEN
. GENERALIZED COUNTING FUNCTIONS AND COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES OF DIRICHLET SERIES[J]. Acta mathematica scientia, Series B, 2025
, 45(2)
: 291
-309
.
DOI: 10.1007/s10473-025-0201-z
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