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