| 书目名称 | Potential Theory on Sierpiński Carpets |
| 副标题 | With Applications to |
| 编辑 | Dimitrios Ntalampekos |
| 视频video | |
| 概述 | Reflects the most recent developments in the field.The exposition is entirely self-contained.Provides detailed proofs preceded by outlines for the convenience of the reader |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2020 |
| 关键词 | Harmonic Functions; Potential Theory; Quasiconformal; Quasisymmetry; Sierpiński Carpets; Square Carpets; S |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-50805-0 |
| isbn_softcover | 978-3-030-50804-3 |
| isbn_ebook | 978-3-030-50805-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:14:57
