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- W3202781027 abstract "Let f∈M+(R+), the class of nonnegative, Lebesgue-measurable functions on R+=(0,∞). We deal with integral operators of the form(TKf)(x)=∫R+K(x,y)f(y)dy,x∈R+, with K∈M+(R+2). We are interested in inequalitiesρ1((TKf)⁎)≤Cρ2(f⁎), in which ρ1 and ρ2 are functionals on functions h∈M+(R+), andh⁎(t)=μh−1(t),t∈R+, whereμh(λ)=|{x∈R+:h(x)>λ}|. Specifically, ρ1 and ρ2 are so-called Orlicz-Lorentz functionals of the typeρ(h)=ρΦ,u(h)=inf{λ>0:∫R+Φ(h(x)λ)u(x)dx≤1},h∈M+(R+); here Φ(x)=∫0xϕ(y)dy, ϕ an increasing function mapping from R+ onto itself and u∈M+(R+)." @default.
- W3202781027 created "2021-10-11" @default.
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- W3202781027 date "2021-12-01" @default.
- W3202781027 modified "2023-09-27" @default.
- W3202781027 title "Orlicz-Lorentz gauge functional inequalities for positive integral operators" @default.
- W3202781027 cites W1554385951 @default.
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- W3202781027 doi "https://doi.org/10.1016/j.bulsci.2021.103056" @default.
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