Operators on some vector valued Hardy and Bergman classes

Linear operators induced by products of composition, multiplication, differentiation and integration gained increasing recognition during the last three decades, mainly due to the fact that they provide, just as, for example, Hankel and Toeplitz operators, ways and means to link classical function theory to functional analysis and operator theory. The products of this link lie deep in complex analysis and diverse indeed. In fact, some of the well known conjectures can be linked to these operators. In this book we consider these operators between some subspaces of the space of holomorphic functions on the unit disk.

Autorentext

Ajay K. Sharma is a Lecturer in the School of Mathematics, Shri Mata Vaishno Devi University. His research interest have been in the areas of operators on function spaces, geometry of function spaces, functions of complex variables and complex dynamics. He has published over 50 research papers in reputed national and international journals.