The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions

On some restricted inequalities for the iterated Hardy-type operator involving suprema and their applications

“…The complete characterizations of inequality (3.1) for 0 < q ≤ ∞, 0 < p ≤ ∞ were given in [18] and [36]. Using the results in [44][45][46][47], another characterization of (3.1) was obtained in [55] and [49]. Now we present characterization of inequality (1.3).…”

Norms of Maximal Functions between Generalized and Classical Lorentz Spaces

“…The complete characterizations of inequality (11) for 0 < q ≤ ∞, 0 < p ≤ ∞ were given in [20] and [38]. Using the results in [48,49,50,51], another characterization of (11) was obtained in [59] and [53]. Note that the inequality…”

Norms of maximal functions between generalized and classical Lorentz spaces

“…The complete characterizations of inequality (3.1) for 0 < q ≤ ∞, 0 < p ≤ ∞ were given in [17] and [39]. Using the results in [49][50][51][52], another characterization of (3.1) was obtained in [60] and [54]. Note that the inequality…”