Advanced Courses of Mathematical Analysis VI

Proceedings of the Sixth International School

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.

Contents:

• Preface

• Organizing Committees

• Part A, Courses:

  • Convex Inequalities, Isoperimetry and Spectral Gap (D Alonso-Gutiérrez and J Bastero)
  • Two-Weight Inequalities for Fractional Integral Operators and Commutators (D Cruz-Uribe)
  • Composition Operators on Hardy Spaces Projection (P Lefèvre)
  • On the Boundedness of Bergman (J A Peláez & J Rättyä)

• Part B, Talks:

• Meanings of "Algebra" and "Analysis" Between Two Encyclopedias: From the Enlightenment to the Great War (L Español)

  A Weak 2-Weight Problem for the Poisson–Hermite Semigroup (G Garrigós)

  Frequently Hypercyclic Operators: Recent Advances and Open Problems (K-G Grosse-Erdmann)

  Classical and New Aspects of the Domination and Factorization of Multilinear Operators (M Mastylo & E A Sánchez Pérez)

  Toeplitz Products on the Bergman Space (M C Reguera)

  Semigroups, a Tool to Develop Harmonic Analysis for General Laplacians (J L Torrea)

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

• Emphasis is on the diversity of topics and range of research lines and proposed problems
• Most contents are developed paying particular attention to the training of potential researchers