Le commerce agricole international en 1885
On projections in H¹ and BMO
On subsequences of the Haar basis in H¹(δ) and isomorphisms between H¹-spaces
On subspaces of H¹ isomorphic to H¹
The Banach space H...(X, d, ...).II.
The Banach space H...(X, d, ...).I.
Uniformly wiggly domains and radial variation.
A simplification in the proof of the non-isomorphism between H¹(δ) and H¹(δ²)
The proof that H¹(δ) and H¹(δ²) are not isomorphic is simplified. This is done by giving a new and simple proof to a martingale inequality of J. Bourgain.
A martingale approach to general Franklin systems
We prove unconditionality of general Franklin systems in , where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.
Combinatorics of Dyadic Intervals: Consistent Colourings
We study the problem of consistent and homogeneous colourings for increasing families of dyadic intervals. We determine when this problem can be solved and when it cannot.
A remark on extrapolation of rearrangement operators on dyadic , 0 < s ≤ 1
For an injective map τ acting on the dyadic subintervals of the unit interval [0,1) we define the rearrangement operator , 0 < s < 2, to be the linear extension of the map , where denotes the -normalized Haar function supported on the dyadic interval I. We prove the following extrapolation result: If there exists at least one 0 < s₀ < 2 such that is bounded on , then for all 0 < s < 2 the operator is bounded on .
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