V. K. Nguyen

activity

20142026

most citedChange of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube

33 citations · 48 across the 19 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NA2017★ 5 cited

Monte Carlo Methods for Uniform Approximation on Periodic Sobolev Spaces with Mixed Smoothness

Glenn Byrenheid, Robert J. Kunsch, Van Kien Nguyen

We consider the order of convergence for linear and nonlinear Monte Carlo approximation of compact embeddings from Sobolev spaces of dominating mixed smoothness defined on the toru…

math.FA2017

Pointwise Multipliers for Besov Spaces of Dominating Mixed Smoothness - II

Van Kien Nguyen, Winfried Sickel

We continue our investigations on pointwise multipliers for Besov spaces of dominating mixed smoothness. This time we study the algebra property of the classes $S^r_{p,q}B(\mathbb{…

math.FA2017★ 2 cited

On a Problem of Jaak Peetre Concerning Pointwise Multipliers of Besov Spaces

Van Kien Nguyen, Winfried Sickel

We characterize the set of all pointwise multipliers of the Besov spaces $B_{p, q}^{s} (R)$ under the restrictions $0 < p, q \leq \infty$ and $s > d / p$ .