Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

Abstract

We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.

General Reiteration Theorems for $${{\mathcal {R}}}$$ and $${{\mathcal {L}}}$$ Classes: Case of Right $${{\mathcal {R}}}$$-Spaces and Left $${{\mathcal {L}}}$$-Spaces

“…These spaces are a generalization of the GΓ(p, q, w 0 ) := GΓ(p, q, w 0 , 1), introduced in [31], while the spaces GΓ(p, ∞, w 0 , w 1 ) appeared in [32].…”

Weighted inequalities for a superposition of the Copson operator and the Hardy operator

“…Another variety of applications in a completely different direction can be found in the theory of function spaces and interpolation theory. These shelter, among others, questions concerning sharp embeddings between important structures [12,28,30], Köthe duals of function spaces [13,14,30], inequalities restricted to cones of functions such as those of monotone or concave functions [16,19,21], or inequalities involving bilinear and multilinear operators [3].…”

General reiteration theorems for R and L classes: Case of left R-spaces and right Fernández-Martínez1, Signes2 2021Journal of Mathematical Analysis and Applications80110View full textAdd to dashboardCite

“…The Generalized Gamma space with double weights GΓ(p, q, w 1 , w 2 ) is the set of all measurable functions f on (0, 1) such that f GΓ = These spaces are a generalization of the spaces GΓ(p, q, w 1 ) := GΓ(p, q, w 1 , 1), introduced in [23], while the spaces GΓ(p, ∞, w 1 , w 2 ) appeared in [25].…”

“…These spaces are a generalization of the spaces GΓ(p, q, w 1 ) := GΓ(p, q, w 1 , 1), introduced in [23], while the spaces GΓ(p, ∞, w 1 , w 2 ) appeared in [25].…”