Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Reverse Hölder inequalities for spherical harmonics


Author: Javier Duoandikoetxea
Journal: Proc. Amer. Math. Soc. 101 (1987), 487-491
MSC: Primary 42B99; Secondary 26D10, 31B05
DOI: https://doi.org/10.1090/S0002-9939-1987-0908654-1
MathSciNet review: 908654
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the $ {L^p}$-norm with respect to the normalized Lebesgue measure on the sphere of any spherical harmonic of degree $ k$ is bounded by a constant independent of the dimension times its $ {L^2}$-norm. Several consequences are obtained from this result.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42B99, 26D10, 31B05

Retrieve articles in all journals with MSC: 42B99, 26D10, 31B05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1987-0908654-1
Article copyright: © Copyright 1987 American Mathematical Society