Sentence examples for maximal norm of from inspiring English sources

This measure is defined as a maximal norm of the density matrix deviation.

For an interval system, we prove that the maximal H∞ norm of its sensitivity function is achieved at twelve (out of sixteen) Kharitonov vertices.

We find necessary and sufficient conditions for the subalgebra of analytic elements associated with a periodic C⁎-dynamical system to be a maximal norm-closed subalgebra.

One method to determine N is to impose the condition max_{y} Biggl{ int_{-infty}^{infty}Bigglvert C x,y -sum _{m=1}^{N} lambda _{m} e_{m}(x) e_{m}(y) Biggrvert,y -sum {d}x Biggr} < varepsilon, (36) i.e. that the maximal (L_{m=1}^{rm of the differeN}e between the given covariance function and its approximation is smalambdahan some (varepsilon>0).

The maximal mean and infinity norm of ε i(t) in Eq. (43) over time is presented in Table 1 for parameter values over five orders of magnitude.

The maximal mean and infinity norm of the relative difference between the original and the reduced model in Eq. (43) over time is presented in Table 2.

We prove an extrapolation theorem saying that the weighted weak type (1,1) inequality for A1 weights implies the strong Lp(w) bound in terms of the Lp(w) operator norm of the maximal operator M. The weak Muckenhoupt–Wheeden conjecture along with this result allows us to conjecture that the following estimate holds for a Calderón Zygmund operator T for any p>1:∥T∥Lp(w)⩽c∥M∥pLp(w).

We consider some small representations of the maximal compact subgroups and calculate the norm of each K-type in the Hilbert spaces.

One is the maximal inequality for pth power of the norm of stochastic convolution integrals.

Brzezniak et al. [7] have derived a maximal inequality for pth power of the norm of stochastic convolutions driven by Poisson random measures.

In this paper, we will prove that, for (1< pnorm of the truncated centered Hardy-Littlewood maximal operator (M^{c}_{gamma}) equals the norm of the centered Hardy-Littlewood maximal operator for all (0