$L^{p}$ norms of certain kernels of the $N$-dimensional torus
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- by L. Colzani and P. M. Soardi PDF
- Trans. Amer. Math. Soc. 266 (1981), 617-627 Request permission
Abstract:
In this paper we study a class of kernels ${F_R}$ which generalize the Bochner-Riesz kernels on the $N$-dimensional torus. Our main result consists in upper estimates for the ${L^p}$ norms of ${F_R}$ as $R$ tends to infinity. As a consequence we prove a convergence theorem for means of functions belonging to suitable Besov spaces.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 266 (1981), 617-627
- MSC: Primary 42A24; Secondary 46E30
- DOI: https://doi.org/10.1090/S0002-9947-1981-0617555-7
- MathSciNet review: 617555