Remarks on the critical Besov space and its embedding into weighted Besov–Orlicz 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 اولRemarks on the Embedding of Spaces of Distributions into Spaces of Colombeau Generalized Functions
We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et al., we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D′ (Ω) into G (Ω). We show that this embedding is equal to the one obtained with local and sheaf arguments by M. Grosser et...
متن کاملEmbedding normed linear spaces into $C(X)$
It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can ...
متن کاملEmbedding Vector-valued Besov Spaces into Spaces of Γ-radonifying Operators
It is shown that a Banach space E has type p if and only for some (all) d ≥ 1 the Besov space B ( 1 p − 1 2 )d p,p (R ;E) embeds into the space γ(L2(Rd), E) of γ-radonifying operators L2(Rd) → E. A similar result characterizing cotype q is obtained. These results may be viewed as E-valued extensions of the classical Sobolev embedding theorems.
متن کاملOn Embedding of Finite Metric Spaces into Hilbert Space
Metric embedding plays an important role in a vast range of application areas such as computer vision, computational biology, machine learning, networking, statistics, and mathematical psychology, to name a few. The main criteria for the quality of an embedding is its average distortion over all pairs. A celebrated theorem of Bourgain states that every finite metric space on n points embeds in ...
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: Studia Mathematica
سال: 2010
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm201-3-2