Continuityof Operators Intertwiningwith Convolution Operators

Subordination and Super Ordination Results Involving Certain Convolution Operators

Subordination and Superordination Properties for Convolution Operator

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Saturation theorems for diseretized linear operators

There is a well developed theory of saturation for positive convolution operators on C*, the space of 2n-periodic and continuous functions. Up until recently, this was suitable to handle almost all the important approximation processes on C*. Now, however, some new and interesting sequences of operators have been obtained for C* by discretizing convolution operators [1], [5]. Such a discretized...

On General Domain Truncated Correlation and Convolution Operators with Finite Rank

Truncated correlation and convolution operators is a general operator-class containing popular operators such as Toeplitz (WienerHopf), Hankel and nite interval convolution operators as well as small and big Hankel operators in several variables. We completely characterize the symbols for which such operators have nite rank, and develop methods for determining the rank in concrete cases. Such r...

Some Sharp Weighted Estimates for Multilinear Operators

In[6], Hu and Yang obtain a variant sharp estimate for the multilinear singular integral operators. The main purpose of this paper is to prove a sharp inequality for some multilinear operators related to certain non-convolution type integral operators. In fact, we shall establish the sharp inequality for the multilinear operators only under certain conditions on the size of the integral operato...