Tangential Interpolation in Weighted Vector-valued Hp Spaces, with Applications
نویسندگان
چکیده
منابع مشابه
Tangential interpolation in weighted vector-valued H spaces, with applications
In this paper, norm estimates are obtained for the problem of minimal-norm tangential interpolation by vector-valued analytic functions in weighted H spaces, expressed in terms of the Carleson constants of related scalar measures. Applications are given to the notion of p-controllability properties of linear semigroup systems and controllability by functions in certain Sobolev spaces.
متن کاملMultilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogs of intrinsic square functions in the generalized weighted Morrey spacesM w (l2). We study the boundedness of intrinsic square functions including the Lusin area integral, the Littlewood-Paley g-function and gλ -function, and their multilinear commutators on vector-valued generalized weighted Morrey s...
متن کاملRényi divergences as weighted non-commutative vector valued $L_p$-spaces
We show that Araki and Masuda’s weighted non-commutative vector valued Lp-spaces [Araki & Masuda, Publ. Res. Inst. Math. Sci., 18:339 (1982)] correspond to an algebraic generalization of the sandwiched Rényi divergences with parameter α = p 2 . Using complex interpolation theory, we prove various fundamental properties of these divergences in the setup of von Neumann algebras, including a data ...
متن کاملPiecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
We develop a constructive piecewise polynomial approximation theory in 1 weighted Sobolev spaces with Muckenhoupt weights for any polynomial degree. The 2 main ingredients to derive optimal error estimates for an averaged Taylor polynomial 3 are a suitable weighted Poincaré inequality, a cancellation property and a simple 4 induction argument. We also construct a quasi-interpolation operator, b...
متن کاملOperator Valued Series and Vector Valued Multiplier Spaces
Let $X,Y$ be normed spaces with $L(X,Y)$ the space of continuous linear operators from $X$ into $Y$. If ${T_{j}}$ is a sequence in $L(X,Y)$, the (bounded) multiplier space for the series $sum T_{j}$ is defined to be [ M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}% T_{j}x_{j}text{ }converges} ] and the summing operator $S:M^{infty}(sum T_{j})rightarrow Y$ associat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2008
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-008-0081-y