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OPTIMAL BANACH FUNCTION SPACE FOR A GIVEN CONE OF DECREASING FUNCTIONS IN A WEIGHTED L-p - SPACEThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

Optimal banach function space for a given cone of decreasing functions in a weighted Lp - spaceThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

On the solvability of parabolic functional differential equations in banach spacesIn this paper, a parabolic functional differential equation is considered in the spaces C(0; T;H1 p

On solvability of parabolic functional differential equations in banach spaces (II)In this paper, a parabolic functional differential equation is considered in the spaces for s close

Optimal Banach function space for the given cone of decreasing functions from weighted Lp-spaceOptimal Banach function space for the given cone of decreasing functions from weighted Lp-space

Measurability of the banach indicatrix functions converging to the indicatrix, and we partly follow Banach’s original proof. © Instytut

Construction of optimal ideal spaces for cones of nonnegative functionsThe problem of constructing an optimal ideal space for a given cone is considered. To solve

Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter© 2016, Allerton Press, Inc.We prove that a measurable function f is bounded and invertible

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functionsOptimal (minimal) Banach spaces containing given cones of monotone or quasiconcave functions

Order dual of a measurable sections spaceAn analytical representation of order continuous functionals on a space of measurable sections of a

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