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Loss of derivatives for systems of complex vector fields and sums of squares
Loss of derivatives for systems complex vector fields sums of squares
2010/11/29
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.MSC: 32W05, 32W25, 32T25
Sums of five Almost Equal Prime Squares
2007/12/12
In this paper we sharpen Hua's result by proving that each sufficiently large integer $N$ congruent to 5 modulo 24 can be written as $$N=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2, \mbox{ with } |p_j-\sqrt{N/5}| \...
Maximal Moment Inequality for Partial Sums of Strong Mixing Sequences and Application
strong mixing maximal moment inequality fixed design regression model weight function estimate asymptotic normality
2007/12/10
Some maximal moment inequalities for partial sums of the strong mixing random variable sequence are established. These inequalities use moment sums as up-boundary and improve the corresponding ones ob...