Compactness of Hardy-Steklov operator |
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| Authors: | Pankaj Jain Babita Gupta |
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| Institution: | a Department of Mathematics, Deshbandhu College, University of Delhi, Kalkaji, New Delhi 110 019, India
b Department of Mathematics, Shivaji College, University of Delhi, Raja Garden, Delhi 110 027, India |
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| Abstract: | Pair of weights u, v is characterized so that the Hardy-Steklov operator  is compact between weighted Lebesgue spaces Lp(u) and Lq(v), where 1<p,q<∞, a,b are certain increasing functions and f?0. The compactness of the conjugate operator  is also studied. |
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| Keywords: | Hardy operator Hardy-Steklov operator Hardy inequality Compactness Boundedness |
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