Sentence examples for multiplier theorem for from inspiring English sources

In this paper, we prove a Hörmander type multiplier theorem for multilinear operators.

The result is then applied to establish a Hörmander type multiplier theorem for the Dunkl transform and to show the convergence of the Bochner Riesz means of the Dunkl transform of order above the critical index in weighted Lp spaces.

For a family of weight functions invariant under a finite reflection group, the boundedness of a maximal function on the unit sphere is established and used to prove a multiplier theorem for the orthogonal expansions with respect to the weight function on the unit sphere.

We show a Hörmander spectral multiplier theorem for A="A0⊗IdY acting on the Bochner space Lp Rd,h2κ Y), where A0 is the Dunkl Laplacian, h2κ a weight function invariant under the action of a reflection group and Y is a UMD Banach lattice.

We discuss several examples, which include sharp spectral multiplier theorems for a class of scattering operators on R3 and new spectral multiplier theorems for the Laguerre and Hermite expansions.

We study general spectral multiplier theorems for self-adjoint positive definite operators on L2 X,μ), where X is any open subset of a space of homogeneous type.

We have also obtained a scalarization theorem and two Lagrange multiplier theorems for tightly proper efficiency in vector optimization involving nearly cone-subconvexlike set-valued maps.

For a family of weight functions invariant under a finite reflection group, we show how weighted Lp multiplier theorems for Dunkl transform on the Euclidean space Rd can be transferred from the corresponding results for h-harmonic expansions on the unit sphere Sd of Rd+1.

Under the assumption of generalized subconvexlikeness and by using co-radiant sets, Gao et al. presented an alternative theorem of set-valued maps, and then derived scalarization theorems and Lagrange multiplier theorems for approximate solutions of vector optimization problems with set-valued maps in [20].

By applying the multiplier theorem (see, for example, [3, 20]), we will show that ψ k ∈ C n + 1 ( R n ; B ( E ) ), k = 1, 2, for | α | ≤ n + 1.

As applications, we establish some scalarization theorems and Lagrange multiplier theorems of S-super efficiency for vector optimization problems with set-valued maps.