https://www.math.ucla.edu/~njhu/tag/classical-analysis-and-odes/ Classical Analysis and ODEs Hugo Blox Builder (https://hugoblox.com)en-caThu, 19 Dec 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/media/icon_hu_d46824b1c45312fd.png https://www.math.ucla.edu/~njhu/tag/classical-analysis-and-odes/ https://www.math.ucla.edu/~njhu/publications/qbl/ Thu, 19 Dec 2024 00:00:00 +0000 https://www.math.ucla.edu/~njhu/publications/qbl/ <!-- <div class="alert alert-warning"> <div> <p><strong>Corrigenda</strong> (for the preprint of 2024-02-22)</p> <ul> <li>(pp. 1, 5) The functions are also measurable in the Brascamp&ndash;Lieb and quiver Brascamp&ndash;Lieb inequalities.</li> <li>(p. 2) The Brascamp&ndash;Lieb constant for Young&rsquo;s convolution inequality is $$\left(\prod\limits_{j=1}^3 \frac{p_j^{1/p_j}}{{p_j&rsquo;}^{1/p_j&rsquo;}}\right)^{d/2}.$$</li> <li>(p. 5) The dimension condition in Corollary 1.10 is identical to that of Theorem 1.8; namely, $$\sum_{i=1}^n \mathrm{dim}(V_i) \leq \sum_{i=1}^n \sum_{j=1}^m \sum_{a \in \mathcal{A}_{ij}} p_j^{-1} \mathrm{dim}(B_a V_i)$$ for all $V_i \leq H_i$.</li> <li>(pp. 6, 8) The source spaces are $H_i$, not $H^i$.</li> </ul> </div> </div> --> https://www.math.ucla.edu/~njhu/publications/fup/ Fri, 23 Apr 2021 00:00:00 +0000 https://www.math.ucla.edu/~njhu/publications/fup/