P-summing Bloch mappings on the complex unit disk
Loading...
Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
This thesis investigates the theory of ff p-summing operators and its extensions in vari ous mathematical and more specifically in the geometry of nonlinear operators settings.Our
work is divided on four Chapters: In Chapter One, we present fundamental definitions
and theorems concerning the ideal of ff p-summing operators. Chapter Two treats Ideal
of (p, σ)-absolutely continuous linear operators, focuses on both linear and Lipschitz ff p summing operators, highlighting relevant domination theorems for each class. In Chapter
Three we introduce the ideal of ff p-summing Bloch mappings, a recent development by An tonio Jiménez-Vargas. Finally, Chapter Four is dedicated to Bloch-type versions of classical
results, including Pietsch’s domination and factorization theorem and Maurey’s extrapola tion theorem. The results presented contribute to the understanding of operator ideals and
their role in functional and nonlinear analysis.
Description
Keywords
p-summing, Bloch mappings, the complex, unit disk