Functional and Harmonic Analysis

Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and BMO Spaces

von René Erlin Castillo, Héctor Camilo Chaparro Gutiérrez, Julio César Ramos-Fernández

146 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

This book provides a comprehensive exploration of weighted function spaces, a fundamental topic in modern analysis. Beginning with the basics of weighted Lebesgue spaces, it systematically develops key properties such as duality, convexity, and interpolation. It delves into Muckenhoupt weights, Hardy and Carlson inequalities, and Calderón-Zygmund decompositions, highlighting their applications in harmonic analysis. With a structured and didactic approach, this work serves as an essential reference for researchers and graduate students in mathematical analysis, functional spaces, and related areas.

• Reihe: De Gruyter Textbook
• ISBN: 9783119142205
• Sprache: Englisch
• Erscheinungsdatum: 17.11.2025
• Genre: Mathematik/Analysis
• Verlag: De Gruyter