Description
Book SynopsisWe shall study a notion of capacity for compact subsets of complex projective space. Our principal motivation for this comes from a theorem of Sibony and Wong 8 , Let K be a compact circled subset of the unit sphere in C2.
Table of Contents*Frontmatter, pg. i*THE FOUNDING OF THE ANNALS STUDIES, pg. v*FOREWORD, pg. vii*TABLE OF CONTENTS, pg. ix*PROJECTIVE CAPACITY, pg. 1*ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES, pg. 29*GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM E8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2, pg. 47*ON METRICS AND DISTORTION THEOREMS, pg. 65*NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE -NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS, pg. 93*DAS FORMALE PRINZIP FUR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL, pg. 101*PERTURBATIONS OF ANALYTIC VARIETIES, pg. 127*BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES, pg. 133*NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE ( -PROBLEM), pg. 151*THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS, pg. 155*THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn, pg. 171*STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS, pg. 179*GLOBALE HOLOMORPHE KERNE ZUR LOSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN, pg. 199*MAPPINGS BETWEEN CR MANIFOLDS, pg. 227*BOUNDARY REGULARITY OF , pg. 243*ON CP1 AS AN EXCEPTIONAL SET, pg. 261*ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2, pg. 277*A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B, pg. 291*SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS, pg. 299*LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES, pg. 327*ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS, pg. 345*A CLASS OF HYPERBOLIC MANIFOLDS, pg. 357*INTERPOLATION MANIFOLDS, pg. 373*SURVEY OF SOME RECENT RESULTS IN C AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES, pg. 393*THE FERMAT SURFACE AND ITS PERIODS, pg. 413*SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS, pg. 429
