Sentence examples for maximal estimates of from inspiring English sources

First, the sharp maximal estimates of multilinear iterated commutators generated by (BMO) functions and multilinear singular integral operators with generalized kernels will be established in Theorem 2.1.

With more weaker conditions for the kernel, they got the conclusion on sharp maximal estimates of the multilinear singular integral operators and their multilinear commutators with (BMO) functions.

However, this method may overestimate the magnitude of any publication bias (Sterne and Egger, 2000) and so the figures, 0.22 and 10%, should be regarded as maximal estimates of the effect of publication bias.

3) Minimal and maximal estimates of the half-life of infected cells was estimated assuming Η = 1 and Η = 0 respectively in Eq 2. 4) No statistically significant differences in any parameter between the two groups.

To obtain a maximal estimate of the domain of attraction, an iterative optimization algorithm is proposed.

Moreover, the maximal estimate of the domain of attraction is proposed by an optimization problem.

The replication efficiency ηr of the loci at or near the origin sites is the maximal estimate of the firing efficiency ηf of the origins.

This measurement was done in the morning after breakfast 3 times, and the maximal estimate of the force was recorded.

The aggregation of bins into global states was optimized by maximizing the I LG n value, so that the resulting pcs j k provide the maximal estimate of the local-global correlation.

These considerations lead to weak type and strong type maximal estimates which generalize fundamental theorems of de Leeuw and Saeki concerning strong type norms of single multipliers.

We will prove Theorem 1.5 via the boundedness of sharp maximal estimates.