Advanced Courses of Mathematical Analysis V

Proceedings of the Fifth International School

This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces.

Those interested in researching any areas of mathematical analysis will find here numerous suggestions on possible topics with an important impact today. Often, the contributions are presented in an expository nature and this makes the discussed topics accessible to a more general audience.

Contents:

• Measurability and Semi-Continuity of Multifunctions (B Cascales)
• Introduction to Interpolation Theory (F Cobos)
• Optimality of Function Spaces in Sobolev Embeddings (L Pick)
• Derivations and Projections on Jordan Triples: An introduction to Nonassociative Algebra, Continuous Cohomology, and Quantum Functional Analysis (B Russo)
• Weighted Inequalities and Extrapolation (J Duoandikoetxea)
• A Note on the Off-Diagonal Muckenhoupt–Wheeden Conjecture (D Cruz-Uribe, J M Martell and C Pérez)
• On the Interplay Between Nonlinear Partial Differential Equations and Game Theory (J D Rossi)
• The Radon–Nikodým Theorem for Vector Measures and Integral Representation of Operators on Banach Function Spaces (E A Sánchez Pérez)
• The Orlicz–Pettis Theorem for Multiplier Convergent Series (C Swartz)

Readership: Graduate students in mathematics and researchers in mathematical analysis.
Key Features:

• The emphasis is on the diversity of topics covered and the range of research lines and proposed problems presented
• Most content is developed paying particular attention to the training of potential researchers. In some cases, interesting collections of exercises are explicitly incorporated
• The high scientific and educational qualifications of professors involved in this work must also be considered