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BILINEAR FORMS ON THE DIRICHLET SPACE 1. Introduction
 

Summary: BILINEAR FORMS ON THE DIRICHLET SPACE
1. Introduction
For 1 < r < , let dAr(z) := 1 - |z|
2
r-2
dA(z). The Dirichlet space Dr is the
collection of functions that are analytic on the unit disc D such that the following
norm is finite,
f
r
Dr
:= |f(0)|
r
+
D
|f (z)|
r
dAr(z)
For s > -1 we define two different linear operators that will act on the space
Lp

  

Source: Arcozzi, Nicola - Dipartimento di Matematica, UniversitÓ di Bologna

 

Collections: Mathematics