Calculations of Norms for Monotone Operators on Cones of Functions with Monotonicity Properties

The paper is devoted to the problem of exact calculation norms in ideal spaces for monotone operators on cones functions with monotonicity properties. We implement a general approach this that covers many concrete variants and different conditions functions. As applications, we calculate some integral cones, associate over Lebesgue spaces, dilation operator embedding weighted Lorentz weights. Under more conditions, present order sharp estimates Hardy-type cones.