It is a trivial matter to show from this that every H”(BA) is a subspace of LP(3A) . Indeed, let us define the modulus automorphic functions Ea on A , o 5 a < 1 , by setting Eq.(r,t) = roeiot . The index of Ea is a .
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable under the so-called big pieces functor.
This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space.