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Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case

Sehba, Benoit F.
arXiv (All) · Papers
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classical-analysis-and-odescomplex-variablesfunctional-analysis
We settle the two-parameter sharp weighted theory for the positive Bergman operator on the upper half-plane: we allow the exponent $α$ that defines the operator to differ from the exponent $γ$ that defines the underlying weighted Lebesgue spaces. In this setting, we prove sharp weak-type and strong-
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