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- Jain, Pankaj, et al.
(författare)
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Carleman-Knopp type inequalities via Hardy inequalities
- 2001
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 4:3, s. 343-355
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Tidskriftsartikel (refereegranskat)abstract
- Some new Carleman-Knopp type inequalities are proved as "end point" inequalities of modern forms of Hardy's inequalities. Both finite and infinite intervals are considered and both the cases p q and q < p are investigated. The obtained results are compared with similar results in the literature and the sharpness of the constants is discussed for the power weight case. Moreover, some reversed Carleman-Knopp inequalities are derived and applied.
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3. |
- Jain, Pankaj, et al.
(författare)
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On products of generalized Orlicz spaces
- 2012
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 15:3, s. 663-674
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Tidskriftsartikel (refereegranskat)abstract
- In the context of generalized Orlicz spaces, the products X-Phi 1 circle dot X-Phi 2 and X-Phi 1 circle times X-Phi 2 are studied and conditions are obtained under which these spaces are contained in a suitable space X-Phi. These imbedding results (inequalities) are in a sense sharp and for the case X = L-1, the conditions are even necessary and sufficient. Moreover, a new Holder type inequality is proved.
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