[Download] "On Edmunds-Triebel Spaces (Report)" by Ludmila Zachariades, Theodossios Nikolova # eBook PDF Kindle ePub Free

📘 Read Now     📥 Download

eBook details

• Title: On Edmunds-Triebel Spaces (Report)
• Author : Ludmila Zachariades, Theodossios Nikolova
• Release Date : January 01, 2010
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 83 KB

Description

1. INTRODUCTION AND PRELIMINARIES For two Banach spaces [A.sub.0] and [A.sub.1], such that [A.sub.0] is densely and continuously embedded in [A.sub.1], 0 [theta] 1, 1 q [infinity] and b [member of] R\{0}, Edmunds-Triebel [8] defined the logarithmic space [A.sub.[theta]][(logA).sub.b,q]. Nikolova, Persson and Zachariades [16] proved that these spaces satisfy the (p, p0) Clarkson inequality for suitable p, 1 [less than or equal to] p [less than or equal to] 2, as well as some properties about the types and the cotypes of these spaces. Nikolova and Zachariades [15] proved that if one of [A.sub.0] and [A.sub.1] is uniformly convex, then the logarithmic space [A.sub.[theta]][(logA).sub.b,q] is also uniformly convex and they gave an estimate of the moduli of convexity of [A.sub.[theta]][(logA).sub.b,q] in terms of the moduli of convexity of [A.sub.0] and [A.sub.1]. Kryczka, Prus and Szczepanik [13] defined a new measure of weak noncompactness [gamma](M), for every M nonempty and bounded subset of a Banach space, as well as the measure of weak nonocompactness [GAMMA](T) for every bounded operator between two Banach spaces.

Free PDF Download "On Edmunds-Triebel Spaces (Report)" Online ePub Kindle