000 02327nam a22003858i 4500
001 CR9780511546617
003 UkCbUP
005 20200124160240.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090508s2005||||enk o ||1 0|eng|d
020 _a9780511546617 (ebook)
020 _z9780521470186 (hardback)
020 _z9780521720601 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA331.7
_b.G37 2005
082 0 0 _a515/.42
_222
100 1 _aGarnett, John B.,
_eauthor.
245 1 0 _aHarmonic measure /
_cJohn B. Garnett, Donald E. Marshall.
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xv, 571 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNew mathematical monographs ;
_v2
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aJordan domains -- Finitely connected domains -- Potential theory -- External distance -- Applications and reverse inequalities -- Simply connected domains, part one -- Bloch functions and quasicircles -- Simply connected domains, part two -- Infinitely connected domains -- Rectifiability and quadratic expressions.
520 _aDuring the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.
650 0 _aFunctions of complex variables.
650 0 _aPotential theory (Mathematics)
700 1 _aMarshall, Donald E.
_q(Donald Eddy),
_d1947-
_eauthor.
776 0 8 _iPrint version:
_z9780521470186
830 0 _aNew mathematical monographs ;
_v2.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511546617
999 _c518420
_d518418