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100   $a20200901d2020      u|             0
101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aPotential Theory on Sierpi?ski Carpets$b[electronic resource] $eWith Applications to Uniformization /$fby Dimitrios Ntalampekos
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (X, 186 p. 10 illus., 4 illus. in color.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2268
311   $a3-030-50804-8 
320   $aIncludes bibliographical references and index.
330   $aThis self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpi?ski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpi?ski carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpi?ski carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v2268
606   $aFunctions of complex variables
606   $aPotential theory (Mathematics)
606   $aFunctional analysis
606   $aMeasure theory
606   $aMathematical analysis
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
615  0$aFunctions of complex variables.
615  0$aPotential theory (Mathematics).
615  0$aFunctional analysis.
615  0$aMeasure theory.
615  0$aMathematical analysis.
615 14$aFunctions of a Complex Variable.
615 24$aPotential Theory.
615 24$aFunctional Analysis.
615 24$aMeasure and Integration.
615 24$aAnalysis.
676   $a515.96
700   $aNtalampekos$b Dimitrios$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791283
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418265203316
996   $aPotential Theory on Sierpi?ski Carpets$91768618
997   $aUNISA