Sentence examples for weights for which from inspiring English sources

In Section 3, we will introduce a type of weighted multilinear Hardy operators and investigate the characterizations of their weights for which the weighted multilinear Hardy operators are bounded on the product of Lebesgue spaces in terms of Heisenberg group.

Furthermore, we introduce a type of weighted multilinear Hardy operators and obtain the characterizations of their weights for which the weighted multilinear Hardy operators are bounded on the product of Lebesgue spaces in terms of Heisenberg group.

Let be a pair of weights for which there exists such that (2.6).

In a filtered measure space, a characterization of weights for which the trace inequality of a positive operator holds is given by the use of discrete Wolffʼs potential.

The largest class of weights for which extension, with (L^2) estimates in terms of those weights, occurs is unknown and would be difficult to precisely define.

3 6 expressions can be found for the equilibrium values in terms of the connection weights (for which no specific values are needed at forehand).

The weighted innovation will therefore be large and the weighting for (which would be for two channels) will be small.

Economic conditions had been irreversibly altered by conquest; the magnitude of conspicuous consumption is suggested by a senatorial decree of 161 that restricted the weight of silver tableware in a banquet to 100 pounds—10 times the weight for which Publius Cornelius Rufinus was punished in 275.

This algorithm finds the weight for which the fits the best to the noise.

Moreover, it is shown that there is an optimal code weight, for which the information rate is maximized.

For missing data, the most recent available values were brought forward, except for body weight, for which baseline values were used.