Sentence examples for is defined on by from inspiring English sources

The function is defined on by (1.16).

The classical Riesz potential is defined on by (1.1).

The Hardy-Littlewood maximal operator is defined on by (2.24).

For, the Riesz potential is defined on by (4.1).

A partial ordering is defined on by letting if and only if.

Definition 1. (i) The generalized Fourier transform F is defined on by: (ii) We have also the inverse formula of the generalized Fourier transform F -1 on by:  .

The functions and are defined on by.

Theorem A. Let be defined as above, and let be defined on by (1.3).

Theorem B. Let be defined as above, and let be defined on by (1.5).

let be the power set of, and let the measure be defined on by (1.18).

Let, and let the operator be defined on by with domain (3.17).