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A duality principle in weighted Sobolev spaces on the real line |
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| Authors: | Simon P Eveson Vladimir D Stepanov Elena P Ushakova |
| Institution: | 1. Department of Mathematics, University of York, Heslington, York, United Kingdom;2. Department of Mathematical Analysis and Function Theory, Peoples Friendship University of Russia, Moscow, Russia;3. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia;4. Computing Center of Far Eastern Branch of Russian Academy of Sciences, Khabarovsk, Russia |
| Abstract: | An embedding inequality of Sobolev type is characterized in the paper with help of a duality principle and boundedness criteria for the Hardy–Steklov integral operator in weighted Lebesgue spaces. |
| Keywords: | Embeddings weighted Sobolev spaces weighted Lebesgue spaces duality norm inequalities Hardy‐Steklov operator 46E35 |