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Physical Sciences and Engineering Mathematics Analysis

Reduction theorems for operators on the cones of monotone functions

Article ID Journal Published Year Pages File Type
4616581 Journal of Mathematical Analysis and Applications 2013 17 Pages PDF
Abstract

For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in the Lp−LqLp−Lq setting for 0

Keywords
Lebesgue spaceHardy operatorMonotone functionsIntegral inequalityWeight
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Reduction theorems for operators on the cones of monotone functions
Authors
Amiran Gogatishvili, Vladimir D. Stepanov,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Lebesgue space
Hardy operator
Monotone functions
Integral inequality
Weight
Algebra and Number Theory
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