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201006 ||| eng |
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|a 9783030508050
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|a Ntalampekos, Dimitrios
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|a Potential Theory on Sierpiński Carpets
|h Elektronische Ressource
|b With Applications to Uniformization
|c by Dimitrios Ntalampekos
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| 250 |
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|a 1st ed. 2020
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2020, 2020
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| 300 |
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|a X, 186 p. 10 illus., 4 illus. in color
|b online resource
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| 653 |
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|a Functional analysis
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| 653 |
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|a Measure theory
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Potential theory (Mathematics)
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Measure and Integration
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| 653 |
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|a Potential Theory
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
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|a 10.1007/978-3-030-50805-0
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| 856 |
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|u https://doi.org/10.1007/978-3-030-50805-0?nosfx=y
|x Verlag
|3 Volltext
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|a 515.9
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| 520 |
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|a This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs
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