Sentence examples for mapping properties of from inspiring English sources

In this paper, we present the (L^{p}) mapping properties of multiple singular integrals related to homogeneous mappings with rough kernels given by the radial function (hinDelta_{gamma}) (or (hin U_{gamma})) for some (gamma>1) (or (gammageq1)) and the sphere function (Omegain L log^L)^{2} (S^{m-1}times S^{n-1})) (or (Omegain L log^L)^{2/gamma'} (S^{m-1}times S^{n-1}))).

We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions.

We study various mapping properties of these operators with applications to Hermite expansions and solutions of Darboux type equations.

In this paper we study the (Lp, L2) mapping properties of a spectral projection operator for Riemannian manifolds.

Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz spaces.

Some complicated nonlinear dynamics problem including high-order aberrations of electron optical systems can be solved effectively by mapping properties of DA quantities.

From Lemmas 8 and 9 we have the following mapping property of the operator J r, a β, α.

Our main result is to establish a result of mapping property of (tilde {I}_{beta}) on (dot{K}^{alpha}_{p cdot), q}(mathbb{R}^{n})).

(C8) is essentially a corollary of Theorem 3 and of the mapping property of Riesz potentials I 1 : L q, θ → L θ q / ( θ - q ), θ, originally proved by Adams [1] (see also [56] for a localization).

In order to prove (C1), we begin recalling the following mapping property of the fractional maximal operator: M β, R : L t → L n t / ( n - β t ), (67 that holds whenever 1 < t < n / β (see [26, 56]).

Recent findings of Mishra et al. [24], where they study class-mapping properties of the Hohlov operator, are worth mentioning.