Function spaces, differential operators and nonlinear analysis

This volume is dedicated to our teacher and friend Hans Triebel, featuring lectures from the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA-01) held in Teistungen, Germany, from June 28 to July 4, 2001, to celebrate his 65th birthday. This conference marked the fifth in a series aimed at fostering collaboration among scientists from Finland, the Czech Republic, and Germany in these fields. It was a significant occasion, honoring Hans Triebel's profound influence on mathematical analysis. His contributions have shaped the modern theory of function spaces over the past 30 years, impacting both pure and applied mathematics. Through his series of books, Triebel has systematically explored function space theory from various perspectives, highlighting its connections to interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory, and analysis on fractals. This collection of papers serves as a tribute to his distinguished work. The book is divided into three parts, with Part I featuring invited lectures by O. V. Besov (Moscow) and D. E. Edmunds (Sussex), which honor Triebel's contributions through a survey of his impactful work.