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Mean inequalities in certain Banach function spaces |
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| Authors: | Pankaj Jain Babita Gupta |
| 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 c Department of Mathematics, University of Delhi, Delhi 110 007, India |
| Abstract: | Boundedness of the Hardy operator  and its adjoint  is characterized between Banach function spaces Xq and Lp. By applying a limiting procedure, corresponding boundedness of the geometric mean operator  is also derived. |
| Keywords: | Banach function space Boundedness Hardy inequality Geometric mean inequality |
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