On the Two-Parameter Extension and Analogue of Hilbert's Inequality*

The paper mentioned in the first foot-note on p. 120 will not appear in the place stated. It may be observed that the present note is independent of the results of that paper, since (S) is a consequence of (I) : cf. the fourth foot-note on p. 120. The result announced at the end of the first foot-note on p. 120 is proved in “Two remarks on Hilbert's double series theorem”, Journal Indian Math. Soc., 2 (1936), 111–115.