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001 978-3-540-45437-3
003 DE-He213
005 20190213151549.0
007 cr nn 008mamaa
008 121227s2002 gw | s |||| 0|eng d
020 _a9783540454373
_9978-3-540-45437-3
024 7 _a10.1007/b83857
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.9
_223
100 1 _aVasil’ev, Alexander.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aModuli of Families of Curves for Conformal and Quasiconformal Mappings
_h[electronic resource] /
_cby Alexander Vasil’ev.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2002.
300 _aIX, 214 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1788
505 0 _aIntroduction -- Moduli of Families of Curves and Extremal Partitions -- Moduli in Extremal Problems for Conformal Mapping -- Moduli in Extremal Problems for Quasiconformal Mapping.-Moduli on Teichmüller Spaces -- References -- List of simbols -- Index.
520 _aThe monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.
650 0 _aFunctions of complex variables.
650 1 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540438465
776 0 8 _iPrinted edition:
_z9783662182703
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1788
856 4 0 _uhttps://doi.org/10.1007/b83857
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11114
_d11114