Bernstein-Jackson inequalities on Gaussian Hilbert spaces

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Applications of functional analysis in probability theory and statistics (46N30) Best constants in approximation theory (41A44)

Cites Work

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A note on Malliavin fractional smoothness for Lévy processes and approximation
Approximation spaces, limiting interpolation and Besov spaces
Geometric space-frequency analysis on manifolds
On Stein's method for infinite-dimensional Gaussian approximation in abstract Wiener spaces
Analytic vectors
Stein's method on Wiener chaos
Multivariate normal approximation using Stein's method and Malliavin calculus
Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces
Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
A general interpolation theorem of Marcinkiewicz type
Function spaces and applications. Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15-21, 1986
Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators
On spectral approximations of unbounded operators
Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators
Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
Interpolation of normed Abelian groups
Jackson-Type inequality in Hilbert spaces and on homogeneous manifolds
Universal Malliavin Calculus in Fock and L\'{e}vy-It\^{o} Spaces
The Malliavin Calculus and Related Topics
Another Note on the Inclusion L p (μ) ⊂L q (μ)
Gaussian Hilbert Spaces
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs
Sharp Jackson and Bernstein inequalities for N-term approximation in sequence spaces with applications

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