Pointwise multipliers from the Hardy space to the Bergman space
نویسندگان
چکیده
منابع مشابه
Multipliers of the Hardy space H 1 and
We study the space of functions ϕ: IN → C such that there is a Hilbert space H, a power bounded operator T in B(H) and vectors ξ, η in H such that ϕ(n) = T n ξ, η. This implies that the matrix (ϕ(i + j)) i,j≥0 is a Schur multiplier of B(ℓ 2) or equivalently is in the space (ℓ 1 ∨ ⊗ ℓ 1) *. We show that the converse does not hold, which answers a question raised by Peller [Pe]. Our approach make...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1999
ISSN: 0019-2082
DOI: 10.1215/ijm/1255985210