A sole sufficient operator.

Sufficient Conditions for Integral Operator Defined by Bessel Functions

The main object of the present paper is to derive several sufficient conditions for integral operator defined by Bessel functions of the first kind to be convex and strongly convex of given order in the open unit disk.

Geometric Sufficient Conditions for Compactness of the Complex Green Operator

We establish compactness estimates for ∂M on a compact pseudoconvex CRsubmanifold M of C of hypersurface type that satisfies the (analogue of the) geometric sufficient conditions for compactness of the ∂-Neumann operator given in [30, 22]. These conditions are formulated in terms of certain short time flows in complex tangential directions.

Sufficient Conditions for Univalence of an Integral Operator Defined by Al-Oboudi Differential Operator

On Sufficient Conditions for Strongly Starlike Functions Associated with a Linear Operator

By using the method of differential subordinations, we derive some sufficient conditions for strongly starlike functions associated with a linear operator. All these results presented here are sharp.

A Sufficient Condition for the Boundedness of Operator-weighted Martingale Transforms and Hilbert Transform

Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Hölder property introduced in [2], then the weighted Hilbert transform H : LW (R,H) → L 2 W (R,H) and also all weighted dyadic martingale transforms Tσ : LW (R,H)→ L 2 W (R,H) are bound...