Abstract
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CORRECTIONS
In my article (Li Hoang Tu, “An Approximate Minimax Property of the Test \(R^2\)”), published in DAN, vol. 180, no. 4, 1968, the following corrections must be made:
On p. 793, line 2 from the bottom, where it is printed
\[ O(\lambda/N^k) \leqslant \alpha \leqslant \lambda - O(1/\ln N) \tag{2} \]
it should read
\[ O(1/N^k) \leqslant \alpha \leqslant 1 - O(1/\ln N). \tag{2} \]
On p. 793, line 1 from the bottom, where it is printed
\[ 1/N\ln N \leqslant \delta \leqslant 1 \]
it should read
\[ 1/N\ln N \leqslant \delta < 1. \]
On p. 794, line 14 from the bottom, where it is printed
\[ \frac{1}{N}\ln N \leqslant \delta \leqslant \frac{12K\ln n}{N}; \qquad \frac{2}{\ln N} \leqslant C \leqslant \frac{2K\ln n}{N} \]
it should read
\[ \frac{1}{N}\ln N \leqslant \delta \leqslant \frac{12k\ln N}{N}; \qquad \frac{2}{\ln N} \leqslant C \leqslant \frac{12k\ln N}{N}. \]
Li Hoang Tu
In the article by M. L. Goldman, “On Estimates of Integral Norms of Eigenfunctions of the Laplace Operator in Certain Domains,” published in vol. 183, no. 1, 1968:
| Location | Printed | Should read |
|---|---|---|
| P. 21, 4th line from bottom | \(q > 2\) | \(q \geqslant 1\) |
| P. 24, 6th line | \(\displaystyle \lim_{n}\left\|u_n(x)\right\|_{L_1(g)} > 0\) | \(\displaystyle \overline{\lim_{n}}\left\|u_n(x)\right\|_{L_1(g)} > 0\) |
| 15th line | \(\displaystyle \lim_{n}\left\|u_n(x)\right\|_{L_q} = \infty\) | \(\displaystyle \overline{\lim_{n}}\left\|u_n\right\|_{L_q} = \infty\) |