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. U...

We investigate the global boundedness of Fourier integral operators with amplitudes in general Hörmander classes Sρ,δm(Rn), ρ,δ∈[0,1] and non-degenerate phase functions arbitrary rank κ∈{0,1,…,n−1} on Besov-Lipschitz Bp,qs(Rn) Triebel-Lizorkin Fp,qs(Rn) order s 0<p≤∞, 0<q≤∞. The results that are obtained all up to end-point sharp also applied regularity Klein-Gordon-type oscillatory integrals a...