Modular inequalities for the Calderón operator. (Q1572910)

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scientific article; zbMATH DE number 1484773
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Modular inequalities for the Calderón operator.
scientific article; zbMATH DE number 1484773

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    Modular inequalities for the Calderón operator. (English)
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    2000
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    The authors study increasing functions \(P,Q: [0,\infty )\rightarrow [0,\infty )\). Let \(S\) be the Calderón operator defined on positive decreasing functions, then they prove modular inequalities \(\int P(Sf)\leq C\int Q(f)\). The results are used to obtain weak type interpolation theorems for modular spaces.
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