INCLUSION PROPERTIES AND SOME GEOMETRIC CONSTANTS FOR SMALL MORREY SPACES

Morrey spaces were introduced by C.B. Morrey in 1938. In 2017 and 2018 Gunawan, et al. [5, 6, 7] studied some inclusion properties of Morrey spaces. In addition Gunawan, et al. [8] also calculated the values of three geometric constants namely the James constant, the Von Neumann-Jordan constant,...

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Bibliographic Details
Main Author: Mu'tazili, Aqfil
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/39176
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:Morrey spaces were introduced by C.B. Morrey in 1938. In 2017 and 2018 Gunawan, et al. [5, 6, 7] studied some inclusion properties of Morrey spaces. In addition Gunawan, et al. [8] also calculated the values of three geometric constants namely the James constant, the Von Neumann-Jordan constant, and the Dunkl-Williams constant for Morrey spaces and found that the values of the three constants are equal to the three constants for L1 and L1. In 2018 Sawano [17] introduced small Morrey spaces by restricting the radius in the denition of Morrey space to be in (0; 1). In this thesis we will discuss some inclusion properties and some geometric constants for small Morrey spaces.