Translator Disclaimer
December 2020 Counter-examples of the Bilinear Estimates of the Holder Type Inequality in Homogeneous Besov Spaces
Hiroyuki TSURUMI
Tokyo J. Math. 43(2): 295-304 (December 2020). DOI: 10.3836/tjm/1502179307

Abstract

We consider the bilinear estimates of a product of functions in homogeneous Besov spaces showed by Bony [3]. It is seen that if we change the condition of indices denoting differential orders, then we can find examples of functions that never satisfy the bilinear estimates. Such examples can be constructed due to those used in the ill-posedness problem of the Navier-Stokes equations, such as Bourgain-Pavlović [4] and Yoneda [13].

Citation

Download Citation

Hiroyuki TSURUMI. "Counter-examples of the Bilinear Estimates of the Holder Type Inequality in Homogeneous Besov Spaces." Tokyo J. Math. 43 (2) 295 - 304, December 2020. https://doi.org/10.3836/tjm/1502179307

Information

Published: December 2020
First available in Project Euclid: 24 August 2019

MathSciNet: MR4185841
Digital Object Identifier: 10.3836/tjm/1502179307

Subjects:
Primary: 42B35

Rights: Copyright © 2020 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
10 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.43 • No. 2 • December 2020
Back to Top