| 11. | Also included in the class of Birnbaum Orlicz spaces are many of the most important Sobolev spaces.
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| 12. | It provides an inequality between a certain Sobolev space norm and an Orlicz space norm of a function.
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| 13. | The Sobolev spaces are the modern replacement for these spaces in which to look for solutions of partial differential equations.
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| 14. | When but " p " 1 } }, real interpolation between Sobolev spaces gives a Besov space:
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| 15. | The Hardy spaces, the Sobolev spaces are examples of Banach spaces that are related to spaces and have additional structure.
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| 16. | For a while, I thought this might refer to Sobolev space, but the 0 condition makes this seem unlikely.
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| 17. | Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation . " SIAM J . Numer.
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| 18. | In 1966 Strichartz received his PhD from Princeton University under Elias Stein with thesis " Multipliers on generalized Sobolev spaces ".
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| 19. | Write W ^ { k, p } for the Sobolev space of some compact Riemannian manifold of dimension " n ".
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| 20. | The energetic space in respect to the operator B is then the Sobolev space H ^ 1 _ 0 ( a, b ).
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