compactifications and function spaces on weighted semigruops
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم
- author علی اکبر خادم معبودی
- adviser محمدعلی پورعبدالله نژاد
- Number of pages: First 15 pages
- publication year 1377
abstract
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 features of this chapter is that the background set is a semigroup and nit a group. in some instances we have even tired to drop some conditions (such as local compactness, or beign hausdoff) from the semigroup. moreover, up to the best of our knowledge, for the first time, we have investigated, the connection between the translation invariance of go (s) and go (s, w), and consequently the connection between the topological structure of s, and the translation invariance of go (s, w) has been investigated. this will be useful in investigating the relation between go (s, w) and other function spaces. chapter three, is devoted to introducing means, homomorphisms and compactifications. and studying the relations between m-admissible subalgebra of c (s, w) and compactifications of (s, w). this chapter shows that the one to one correspondence between m-admissible subalgebras, and compactifications reduces to the inclusion relation, in the case of weighted semigroups, i. e. compactifications lose a great deal of their importance in this case. moreover we show that the existence of compactifications is independent of the definition of amean (for which there has been quite a few different ones). this, in fact, is a consequence of the definition of a homomorphism between two weighted semigroups. for the analytic background of this thesis, we refer to (6), (7), (20), while for topological background we refer to (23).
similar resources
Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces
In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.
full textA remark on Remainders of homogeneous spaces in some compactifications
We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal, then...
full textGroup Compactifications and Moduli Spaces
We give a summary of joint work with Michael Thaddeus that realizes toroidal compactifcations of split reductive groups as moduli spaces of framed bundles on chains of rational curves. We include an extension of this work that covers Artin stacks with good moduli spaces. We discuss, for complex groups, the symplectic counterpart of these compactifications, and conclude with some open problems a...
full textOn approximation numbers of Sobolev embeddings of weighted function spaces
We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev–Hardy–Besov type with polynomials weights. The exact estimates are proved in almost all cases. © 2005 Elsevier Inc. All rights reserved.
full textEffective dimension for weighted function spaces
This paper introduces some notions of effective dimension for weighted function spaces. A space has low effective dimension if the smallest ball in it that contains a function of variance 1, has no functions with large values of certain ANOVA mean squares. For a Sobolev space of periodic functions defined by product weights we get explicit formulas describing effective dimension in terms of tho...
full textMy Resources
document type: thesis
وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023