Sentence examples for continuity of composition from inspiring English sources

We study the continuity of composition operators on the classical Hardy and weighted Bergman spaces of the polydisk.

The continuity of composition operators semigroup is proved in Section 3.3.

This paper studied the path component of composition operators spaces and the continuity of composition operator semigroups.

Next, we prove the strong continuity of composition operator semigroups induced by one-parameter semigroups of holomorphic self-maps of the upper half-plane.

Moreover, we prove the strong continuity of composition operators semigroup induced by a one-parameter semigroup of holomorphic self-maps of half-plane.

In addition, we prove the strong continuity of composition operators semigroups induced by one-parameter semigroups of holomorphic self-maps of (Pi^).

Burroughs wrote his first trilogy of novels over a four-year period (1950-1953) buthehe publishing history of Junkie (1953), The Yage Letters (1963), and Queer (1985) not only confused the continuity of their composition but also shaped the identity of each text.

In the last subsection, we consider the strong continuity of the composition operator semigroup induced by a one-parameter semigroup of holomorphic self-maps of (Pi^).

Moreover, if (mu(Omegabackslashtau(Omega))=0), then condition (1) is necessary for the continuity of the composition operator (c_{tau}) from (L^{Phi}(Omega)) into (L^{Psi}(Omega)).

In connection with this, we state some sufficient conditions for equi-absolute continuity of the composition operator (c_{tau}) and the multiplication operator (M_{w}) from one Orlicz space into another.

In the case when Ω has infinite measure, we were unable to show that (8) is a necessary condition for the equi-absolute continuity of the composition operator (c_{tau}).