Weighted LΦ integral inequalities for operators of Hardy type
Bloom, Steven ; Kerman, Ron
Studia Mathematica, Tome 108 (1994), p. 35-52 / Harvested from The Polish Digital Mathematics Library
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Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for Φ2-1(ʃΦ2(w(x)|Tf(x)|)t(x)dx)≤Φ1-1(ʃΦ1(Cu(x)|f(x)|)v(x)dx) to hold when Φ1 and Φ2 are N-functions with Φ2∘Φ1-1 convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216097 
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     author = {Steven Bloom and Ron Kerman},
     title = {Weighted $L\_{$\Phi$}$ integral inequalities for operators of Hardy type},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {35-52},
     zbl = {0823.42010},
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Bloom, Steven; Kerman, Ron. Weighted $L_{Φ}$ integral inequalities for operators of Hardy type. Studia Mathematica, Tome 108 (1994) pp. 35-52. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i1p35bwm/

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