The investigation of the boundary value problems, concerning the operators in the form of the sum of squares of vector fields fulfilling Hörmander condition, has turned into the subject of several works, see [2 4].
This operator reveals a rich structure through its representation as a martingale, and we obtain new results concerning the operator norm ofSacting on the class of differential forms havingLpcoefficients.
It has become a growing concern for the operators of online markets and regulators.
They made their findings public Tuesday because they believe the issue is of immediate concern to the operators of Web servers that rely on the public key cryptography system.
But there have also been concerns that the operators of drones are too far removed from the battlefield to comprehend the seriousness of what they do and that mistakes can be made.
As the energy expenditure becomes a major concern for the operators of communication networks, constructing cooperative networks with the energy consumption minimized has become an important research field [21].
In this section, we give some results concerning the classes of Fredholm operators and Browder operators via the concept of measures of noncompactness.
The main results concerning the boundedness of operator (T_{alpha, beta}), including the corresponding Hardy type inequalities, can be found in Section 3.
We begin with some analytical results concerning the structure of the operator.
In Section 3, we give a theorem concerning the existence of the operator of type (1.5).
Concerning the approximation properties of operators and some results on approximation of functions of bounded variation by positive linear operators, one can refer to [2 7].
