Sentence examples for multiplier theorem on from inspiring English sources

We follow hereby a transference method developed by Bonami Clerc and Dai Xu, passing through a Marcinkiewicz multiplier theorem on the sphere.

Roughly speaking, in the linear case, by adding the condition that the Hardy-Littlewood maximal operator is bounded on weighted variable spaces, the results of multipliers on weighted variable spaces can be derived from the weighted multiplier theorem on classical Lebesgue spaces and the extrapolation theorem on weighted variable spaces.

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.

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.

In this paper, we established scalarization theorems and Lagrange multiplier theorems of S-super efficiency under the assumption of nearly S-subconvexlikeness.

"Stimulus, Without More Debt" (Economic View, Dec. 26) proposes a notion called the "balanced-budget multiplier theorem" to justify new stimulus spending.

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

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.

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.

The main tool is Meyer's multiplier theorem and let us underline that the definition of D δ on all the spaces, 1