E D I T O R I A L C O M M I T T E E Jerry L . Bon a (Chair ) Eri c M . Friedlande r Adriano Garsi a Nige l J . Higso n Peter Landwebe r 2000 Mathematics Subject Classification. Primar y 35-02 , 31-XX , 34A26, 35R35 , 28A75. For additiona l informatio n an d update s o n thi s book , visi t www.ams.org/bookpages/ulect-35 Library o f Congres s Cataloging-in-Publicatio n Dat a Capogna, Luca , 1966 - Harmonic measur e : geometri c an d analyti c point s o f vie w / Luc a Capogna , Carlo s E . Kenig , Loredana Lanzani . p. cm . - (Universit y lectur e series , ISS N 1047-399 8 v. 35 ) Includes bibliographica l references . ISBN 0-8218-2728- 6 (alk . paper ) 1. Potential theor y (Mathematics) . 2 . Differential equations , Partial . 3 . Geometry, Differential . I. Kenig , Carlo s E. , 1953 - . II . Lanzani , Loredana , 1965 - . III . Title . IV . Universit y lectur e series (Providence , R.I. ) 35. QA404.7.C37 200 5 515/.96-dc22 200504409 5 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addresse d t o th e Acquisition s Department , America n Mathematica l Society , 201 Charle s Street , Providence , Rhod e Islan d 02904-2294 , USA . Request s ca n als o b e mad e b y e-mail t o reprint-permission@ams.org . © 200 5 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t http : //www. ams. org/ 10 9 8 7 6 5 4 3 2 1 1 0 0 9 0 8 0 7 0 6 0 5
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