Metric Modular Spaces

• Main Author: Chistyakov, Vyacheslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Differential equations.; Functions of complex variables.; Special functions.; Several Complex Variables and Analytic Spaces.; Ordinary Differential Equations.; Functional Analysis.; Special Functions.

Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two impor...

Table of Contents:

• 1.Classes of Modulars
• 2. Metrics on Modular Spaces
• 3. Modular Transforms
• 4. Topologies on Modular Spaces
• 5. Bounded and Regulated Mappings
• 6. Mappings of Bounded Generalized Variation
• Appendix
• References.