On the existence of maximizers for a family of restriction theorems

By Luca Fanelli, Luis Vega, Nicola Visciglia. 2010

64 citations recorded by the source corpus.

We prove the existence of maximizers for a general family of restriction operators, up to the end‐point. We also provide some counterxamples in the end‐point case.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/520894621bc4c9376e896eede1e25ccc6efee5a1

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In Applied Mathematics

1. Plamen Stefanov
2. Shuanglin Shao
3. Gunther Uhlmann
4. J. Ramos
5. Michael Christ
6. Damiano Foschi
7. Mikko Salo
8. Carlos E. Kenig

In Computational Theory and Mathematics

1. Gunther Uhlmann
2. Plamen Stefanov
3. J. Ramos
4. Shuanglin Shao
5. Michael Christ
6. Mikko Salo
7. Venkateswaran P. Krishnan
8. Carlos E. Kenig

In Mathematical Physics

1. Gunther Uhlmann
2. Plamen Stefanov
3. Shuanglin Shao
4. J. Ramos
5. Michael Christ
6. Carlos E. Kenig
7. Mikko Salo
8. Gang Bao

Citations in the corpus

• The geodesic X-ray transform with fold caustics (2010, methodology): “2 has more recently been obtained by Fanelli, Vega, and Visciglia [Fanelli et al. 2011], for adjoint restriction inequalities not of endpoint type.”
• A refinement of the Strichartz inequality for the wave equation with applications (2012, background): “For progress on closely related problems see [3], [7], [9], [11,12], [18], [19], [20], [27], [43], [49], [53] and [54].”
• Existence of Extremals for a Fourier Restriction Inequality (2010, methodology): “An analogue of Theorem 1.2 has more recently been obtained by Fanelli, Vega, and Visciglia [Fanelli et al. 2011], for adjoint restriction inequalities not of endpoint type.”