โ Scribed by Fornaess J.E. (ed.)
No coin nor oath required. For personal study only.
We 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.
Cover......Page 1
Title Page......Page 3
Copyright Page......Page 4
THE FOUNDING OF THE ANNALS STUDIES......Page 5
FOREWORD......Page 7
TABLE OF CONTENTS......Page 9
PROJECTIVE CAPACITY......Page 15
ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES......Page 41
GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM E8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C^2......Page 59
ON METRICS AND DISTORTION THEOREMS......Page 77
NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE a-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS......Page 105
DAS FORMALE PRINZIP FOR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL......Page 113
PERTURBATIONS OF ANALYTIC VARIETIES......Page 139
BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES......Page 145
NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE dbar-PROBLEM......Page 163
THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS......Page 167
THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN C^n......Page 183
STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS......Page 191
GLOBALE HOLOMORPHE KERNE ZUR LOSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN......Page 211
MAPPINGS BETWEEN CR MANIFOLDS......Page 239
BOUNDARY REGULARITY OF dbar......Page 255
ON CP^1 AS AN EXCEPTIONAL SET......Page 273
ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C^2......Page 289
A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B......Page 303
SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS......Page 311
LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES......Page 339
ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS......Page 357
A CLASS OF HYPERBOLIC MANIFOLDS......Page 369
INTERPOLATION MANIFOLDS......Page 385
A SURVEY OF SOME RECENT RESULTS IN C? AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES......Page 405
THE FERMAT SURFACE AND ITS PERIODS......Page 425
SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS......Page 441
๐ SIMILAR VOLUMES
We 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.
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