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Non-Doubling Ahlfors Measures, Perimeter Measures, and the Characterization of the Trace Spaces of Sobolev Functions in Carnot-Caratheodory Spaces
Language: en
Pages: 138
Authors: Donatella Danielli
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory space. Such traces are define
Nonlinear Potential Theory on Metric Spaces
Language: en
Pages: 422
Authors: Anders Björn
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: European Mathematical Society

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The $p$-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastic
Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls
Language: en
Pages: 178
Authors: Nicola Arcozzi
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Contents: A tree structure for the unit ball $mathbb B? n$ in $mathbb C'n$; Carleson measures; Pointwise multipliers; Interpolating sequences; An almost invaria
Conformal Graph Directed Markov Systems on Carnot Groups
Language: en
Pages: 170
Authors: Vasileios Chousionis
Categories: Mathematics
Type: BOOK - Published: 2020-09-28 - Publisher: American Mathematical Soc.

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The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemann
Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces
Language: en
Pages: 434
Authors: Pascal Auscher
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincare Institute (Paris). In the book, leading expert