Weighted Estimates of the Weyl-Type Operator and Its Compactness

In this paper, the results of the necessity and sufficiency conditions of the fact that the operator T for the case p <= q is bounded and compact from the weighted Lebesgue space L-p,L-w=L-p,L-w(I) are obtained, where L-p,L-w=L-p(w,I) is the set of all measurable functions f in the interval I=(a,b),0 <= a<<=infinity, which the norm is finite: ||||(,)=integral|()|()(1/) Lutra lutra) at the boundary of its Italian core range