Universal Interpolating Sequences on Some Function Spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولInterpolating Sequences on Analytic Besov Type Spaces
We characterize the interpolating sequences for the weighted analytic Besov spaces Bp(s), defined by the norm ‖f‖ Bp(s) = |f(0)|p + Z D |(1− |z|2)f ′(z)|p(1− |z|2)s dA(z) (1− |z|2)2 , 1 < p < ∞ and 0 < s < 1, and for the corresponding multiplier spaces M(Bp(s)).
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Let X be a Banach space. Suppose that for all p ∈ (1,∞) a constant Cp,X depending only on X and p exists such that for any two X-valued martingales f and g with tangent martingale difference sequences one has E‖f‖ ≤ Cp,XE‖g‖ p (∗). This property is equivalent to the UMD condition. In fact, it is still equivalent to the UMD condition if in addition one demands that either f or g satisfy the so-c...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2005
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-005-0063-4