Andreotti-Grauert Theory by Integral Formulas by Prof. Dr. Gennadi M. Henkin, Prof. Dr. Jürgen Leiterer

By Prof. Dr. Gennadi M. Henkin, Prof. Dr. Jürgen Leiterer (auth.)

Show description

Read Online or Download Andreotti-Grauert Theory by Integral Formulas PDF

Similar theory books

Water Waves: The Mathematical Theory with Applications (Wiley Classics Library)

Bargains an built-in account of the mathematical speculation of wave movement in drinks with a loose floor, subjected to gravitational and different forces. makes use of either power and linear wave equation theories, including functions comparable to the Laplace and Fourier remodel tools, conformal mapping and complicated variable options generally or indispensable equations, equipment using a Green's functionality.

Modular function spaces

This monograph presents a concise creation to the most effects and techniques of the mounted aspect idea in modular functionality areas. Modular functionality areas are usual generalizations of either functionality and series variations of many very important areas like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii areas, and others.

Extra info for Andreotti-Grauert Theory by Integral Formulas

Example text

We aay aD ia piecewise almost Cl if there exist a neighborhood U of aD and a finite number of closed almost c 1 hypersurfaces Y1 , ... ,YN in U (of. Sect. 1) such that the following conditions are fulfilled: 46 u N aD= ( i) YjnoD; j=l (ii) for all l~i

K 1 ~N. 8) For any bounded differential form f on SK' by (L~f)(z) = we define a continuous differential form L~f in D. "v = (LK)r(z,x,t) (O~r~n-1) we denote the sum of all monomials are of bidegree (O,r) in z. 9) for r=O, ... , n-1. 6. Proposition. Let D ~ Cn be a domain with piecewise almost c1 boundary, Y=(Y 1 , ... ,YN) a frame forD, v a Leray map for (D,Y), and K=(k 1 , ... ,k 1 ) a strictly increasing collection of integers 1~k 1 < ...

The Cauchy-Fantappie integral Lv. Let D cc ~n be a domain with almost c 1 boundary, and let v be a Leray map for D. :J(x) L (z,x) = - 1( 2 ll:i)n \ z,x ~v ( 2. 1) for Z€D and xeoD, and for any bounded differential form f on oD, by I f(x)ALv(z,x), X€aD we define a continuous differential form Lvf in D. 2) By Lv=Lv(z,x) (O

Download PDF sample

Rated 4.05 of 5 – based on 9 votes