The Corona Theorem for the Drury-arveson Hardy Space and Other Holomorphic Besov-sobolev Spaces on the Unit Ball in C
نویسندگان
چکیده
We prove that the multiplier algebra of the Drury-Arveson Hardy space H n on the unit ball in C n has no corona in its maximal ideal space, thus generalizing the famous Corona Theorem of L. Carleson in the unit disk. This result is obtained as a corollary of the Toeplitz Corona Theorem and a new Banach space result: the Besov-Sobolev space B p has the ”baby corona property” for all 0 ≤ σ < n p + 1 and 1 < p < ∞.
منابع مشابه
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