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Potential Theory on Sierpiński Carpets = With Applications to Uniformization /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Potential Theory on Sierpiński Carpets/ by Dimitrios Ntalampekos.
Reminder of title:	With Applications to Uniformization /
Author:	Ntalampekos, Dimitrios.
Description:	X, 186 p. 10 illus., 4 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functions of complex variables. -
Online resource:	https://doi.org/10.1007/978-3-030-50805-0
ISBN:	9783030508050

Potential Theory on Sierpiński Carpets = With Applications to Uniformization /
Ntalampekos, Dimitrios.

Potential Theory on Sierpiński CarpetsWith Applications to Uniformization /[electronic resource] :by Dimitrios Ntalampekos. - 1st ed. 2020. - X, 186 p. 10 illus., 4 illus. in color.online resource. - Lecture Notes in Mathematics,22680075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

ISBN: 9783030508050

Standard No.: 10.1007/978-3-030-50805-0doiSubjects--Topical Terms:

528649
Functions of complex variables.

LC Class. No.: QA331-355

Dewey Class. No.: 515.9

Potential Theory on Sierpiński Carpets = With Applications to Uniformization /
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