Analysis on metric spaces emerged in the 1990s as an independent research field providing
a unified treatment of first-order analysis in diverse and potentially nonsmooth settings …

A self-contained treatment appropriate for advanced undergraduate and graduate students,
this volume offers a detailed development of the necessary background for its survey of the …

Analysis in spaces with no a priori smooth structure has progressed to include concepts from
the first order calculus. In particular, there have been important advances in understanding …

抄録< jats: p> The geometry and analysis that is discussed in this book extends to classical
results for general discrete or Lie groups, and the methods used are analytical but have little …

4. Quasiconformality vs. quasisymmetry 5. Poincar@ inequalities and the Loewner condition
6. Examples of Loewner spaces 7. Absolute continuity of quasisymmetric maps 8 …

Page 1 OLLI MARTIO VLADIMIR RYAZANOV URI SREBRO EDUARD YAKUBOV Moduli in
Modern Mapping Theory Springer Springer Monographs in Mathematics Page 2 Springer …

This reference details valuable results that lead to improvements in existence theorems for
the Loewner differential equation in higher dimensions, discusses the compactness of the …

The key idea in geometric group theory is to study infinite groups by endowing them with a
metric and treating them as geometric spaces. This applies to many groups naturally …

Many parallels between complex dynamics and hyperbolic geometry have emerged in the
past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment …

This book is devoted to the Beltrami equations that play a significant role in Geometry,
Analysis and Physics and, in particular, in the study of quasiconformal mappings and their …