Sentence examples for and the function belongs from inspiring English sources

Then if and only if and the function belongs to.

Also, for all and, the function belongs to for some constant.

Let be a nonexpansive semigroup on such that and let be a subspace of such that contains constants, is -invariant (i.e., ) for each, and the function belongs to for every and.

Moreover, if and, then the function belongs to and the following estimate holds: (2.19).

the  function  belongs and.

A Banach function space is said to be invariant under translations if for every, the function belongs to and.

is a continuous function such that the function belongs to whenever and.

Moreover, one can easily verify that the function belongs to if and only if.

Subsequently, assuming the function belongs to, we deduce the a priori estimates (2.3) and (2.4) for the adjoint operator.

Therefore the function belongs to the space.

If, then the function belongs to.