Corona Theorem
نویسندگان
چکیده
For p ∈ (0, 1), let Q p be the subspace consisting of Möbius bounded functions in the Dirichlet-type space. Based on the study of the multipliers in Q p , we establish the corona theorem for Q p .
منابع مشابه
A New Construction of Riemann Surfaces with Corona
equivalently [Gar,VIII.2], the corona M(X) \ ι(X) is empty. (Here M(X) is the maximal ideal space of the algebra H∞(X) of bounded holomorphic functions on X and ι is the natural inclusion X ↪→ M(X).) If X does not satisfy the corona theorem then X may be said to have corona. Riemann surfaces known to satisfy the corona theorem include the unit disk [Car], bordered Riemann surfaces [All] [Sto], ...
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