Bergman Spaces of Temperature Functions on a Cylinder
نویسنده
چکیده
We define the weighted Bergman space b p β (S T) consisting of temperature functions on the cylinder S T = S 1 × (0,T) and belonging to L p (Ω T ,t β dxdt), where Ω T = (0, 2) × (0,T). For β > −1 we construct a family of bounded projections of L p (Ω T ,t β dxdt) onto b p β (S T). We use this to get, for 1 < p < ∞ and 1/p +1/p = 1, a duality b p β (S T) * = b p β (S T), where β depends on p and β.
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