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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

Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spaces presented.) and the commutators of the maximal operator (Formula presented.) in total Morrey spaces (Formula

Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals
© 2018, Pleiades Publishing, Ltd. We consider linear normed spaces of measurable functions

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

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

On rearrangement-invariant hull of generalized Sobolev spacesThe equivalent description of decreasing rearrangement cone is established for the function from

Characterizations of commutators of the maximal function in total Morrey spaces on stratified Lie groups operator [b, M] in the total Morrey spaces Lp,λ,μ(G) on any stratified Lie group G when b belongs

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

Local growth envelopes and optimal embeddings of generalized Sobolev spaces Lorentz-Sobolev spaces, is also presented. It was assumed that the norm of any function from a

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