Multipliers of type (p, q)

On pointwise multipliers for F sp , q ( R n ) in case σ p , q < s < n / p

We give a new description of the set M(F s p,q ) of all pointwise multipliers of the TriebelLizorkin spaces F s p,q in those cases, where they consist of, possibly unbounded, functions. 1991 Mathematics Subject Classification: 46E35.

On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators

In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...

q-Variation and Commutators for Fourier Multipliers

If Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded q-variation on dyadic coronas, we prove that the commutator [T, Tμ] = TTμ−TμT is bounded on the Besov space B p (R ), if T is any bounded linear operator on a couple of Besov spaces Bj ,rj p (R) (j = 0, 1, and 0 < σ1 < σ < σ0).

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

Minimal transitive factorizations of a permutation of type (p, q)

We give a combinatorial proof of Goulden and Jackson’s formula for the number of minimal transitive factorizations of a permutation when the permutation has two cycles. We use the recent result of Goulden, Nica, and Oancea on the number of maximal chains of annular noncrossing partitions of type B. Résumé. Nous donnons une preuve combinatoire de formule de Goulden et Jackson pour le nombre de f...