<span>The purpose of this book is to study plurisubharmonic and analytic functions in n using capacity theory. The case n=l has been studied for a long time and is very well understood. The theory has been generalized to mn and the results are in many cases similar to the situation in . However, the
Capacities in Complex Analysis
β Scribed by Prof. Dr. Urban Cegrell (auth.)
- Publisher
- Vieweg+Teubner Verlag
- Year
- 1988
- Tongue
- German
- Leaves
- 167
- Series
- Aspects of Mathematics / Aspekte der Mathematik E 14
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages I-XI
Capacities....Pages 1-3
Capacitability....Pages 4-10
Outer Regularity....Pages 11-21
Outer Regularity (Cont.)....Pages 22-29
Subharmonic Functions in IR n ....Pages 30-31
Plurisubharmonic Functions in β n β The Monge-AmpΓ¨re Capacity....Pages 32-55
Further Properties of the Monge-Ampère Operator....Pages 56-65
Greenβs Function....Pages 66-72
The Global Extremal Function....Pages 73-80
Gamma Capacity....Pages 81-98
Capacities on the Boundary....Pages 99-115
SzegΓΆ Kernels....Pages 116-147
Complex Homomorphisms....Pages 148-153
Back Matter....Pages 154-156
β¦ Subjects
Algorithm Analysis and Problem Complexity; Functional Analysis; Analysis
π SIMILAR VOLUMES
<p><p></p><p>This monograph develops the Gaussian functional capacity theory with applications to restricting the Gaussian Campanato/Sobolev/BV space. Included in the text is a new geometric characterization of the Gaussian 1-capacity and the Gaussian PoincarΓ© 1-inequality. Applications to function
<span>This is a complete solution guide to all exercises in Bak and Newman's </span><span>Complex Analysis</span><span>. The features of this book are as follows: <br></span><ul><li><span><span> It covers all the 300 exercises with detailed and complete solutions.</span></span></li><li><span><span>