Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev Spaces on Complex Balls
نویسندگان
چکیده
on the associated Bergman tree Tn. Combined with recent results about interpolating sequences this leads, for this range of σ, to a characterization of universal interpolating sequences for B 2 and also for its multiplier algebra. However, the tree condition is not necessary for a measure to be a Carleson measure for the Drury-Arveson Hardy space H n = B 1/2 2 . We show that μ is a Carleson measure for B 1/2 2 if and only if both the simple condition 2Iμ (α) ≤ C, α ∈ Tn,
منابع مشابه
The Corona Theorem for the Drury-arveson Hardy Space and Other Holomorphic Besov-sobolev Spaces on the Unit Ball in C
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 ...
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