Sentence examples similar to measurable although bounded consequence from inspiring English sources

where are essentially bounded measurable functions, are measurable functions for and are summable with respect to and measurable essentially bounded with respect to for.

The set ({tin K:|f(t -L|geq varepsilon}) is measurable and bounded.

If (F Trightarrow E^{n}) is strongly measurable and integrably bounded, then F is integrable.

Let (psi_{0}) be a measurable and locally bounded function in ((0,T)).

If (x : I to E^{d}) is strongly measurable and integrably bounded, then x is integrable.

If (F Trightarrow E) is strongly measurable and integrably bounded, then F is integrable.

The operability of the designed control systems subject to non-measurable bounded disturbances is presented.

Hence, is clearly measurable in and essentially bounded on.

(H4) For each, is measurable on and is bounded on.

Let be the Banachspace of measurable functions which are bounded, equipped with the norm (23).

where are Lebesque measurable and locally essentially bounded functions,, for all and.