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We characterize projective and injective Banach modules in approximate terms, generalizing thereby

of unknown functions (arbitrariness of integration) determined during the solution as an initial

–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E

ideals of spaces of measurable almost everywhere finite functions.

An analogue of the classical Young's inequality for convolutions of functions is proved in the case

spaces. The results on modular inequalities for the considered operators of Hardy type are important

of functions with monotonicity conditions play an important role in different branches of function spaces

maximal operator M α on Orlicz spaces. As an application of this results we consider the boundedness

On some properties of a functional calculus of closed operators on banach space

. The equivalence of norms of these fractional spaces generated by this operator and Hölder spaces is proved

Страница 19 из 5535