On composition operators which preserve BMO

On Composition Operators Which Preserve Bmo

Q |f − fQ|dx < ∞, (1) where |Q| is the n-dimensional Lebesgue measure of Q, fQ = |Q|−1 ∫ Q fdx, and the supremum is taken over all closed cubes Q ⊂ D with sides parallel to the coordinate axes. Let D and D′ be subdomains of Rm and Rn, m, n ≥ 1, respectively. We say that a map F : D → D′ is measurable if F−1(E) is measurable for each measurable subset E of D′. We say that a measurable map F : D ...

Linear Operators Which Preserve Pairs on Which the Rank Is Additive

Let A and B be m n matrices. A linear operator T preserves the set of matrices on which the rank is additive if rank(A + B) = rank(A) + rank(B) implies that rank(T (A) + T(B)) = rankT (A) + rankT (B). We characterize the set of all linear operators which preserve the set of pairs of n n matrices on which the rank is additive.

Matricial Operators which Preserve Schauder Basis in p-Adic Analysis

In this work we give a generalization of the results established by W. Ruckle and L. W. Baric for the matrix transformations which preserve schauder basis in the classical case for a p-adic analysis. We give several characterizations of matricial operators which preserve Schauder bases in non archimedean Barrelled spaces. Mathematics Subject Classification: 46A35

0 Ja n 19 96 Rearrangements of the Haar system which preserve BMO

Composition Operators and Multiplication Operators on Orlicz Spaces

This article has no abstract.