Carleson inequalities on parabolic Bergman spaces
نویسندگان
چکیده
منابع مشابه
Carleson Measure Problems for Parabolic Bergman Spaces and Homogeneous Sobolev Spaces
Let bα(R 1+n + ) be the space of solutions to the parabolic equation ∂tu+ (−△)u = 0 (α ∈ (0, 1]) having finite L(R 1+n + ) norm. We characterize nonnegative Radon measures μ on R + having the property ‖u‖Lq(R1+n + ,μ) . ‖u‖ Ẇ1,p(R + ) , 1 ≤ p ≤ q < ∞, whenever u(t, x) ∈ bα(R 1+n + ) ∩ Ẇ 1.p(R + ). Meanwhile, denoting by v(t, x) the solution of the above equation with Cauchy data v0(x), we chara...
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An analogue of the notion of uniformly separated sequences, expressed in terms of canonical divisors, is shown to yield a necessary and sufficient condition for interpolation in the Bergman space Ap, 0 < p < ∞. A sequence Γ = {zj} of distinct points in the open unit disk D = {z : |z| < 1} of the complex plane is a classical interpolation sequence if for every bounded sequence {aj}, there is a b...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 2010
ISSN: 0040-8735
DOI: 10.2748/tmj/1277298649