14 citations · 34 across the 6 of their papers we have counts for
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Equivalence of sparse and Carleson coefficients for general sets
Timo S. Hanninen
We remark that sparse and Carleson coefficients are equivalent for every countable collection of Borel sets and hence, in particular, for dyadic rectangles, the case relevant to th…
Two-weight bounds for positive dyadic operators in the case
Timo S. Hänninen, Igor E. Verbitsky
Let , be measures on , and let be a family of non-negative reals indexed by the collection of dyadic cubes in $\mathb…
Remark on dyadic pointwise domination and median oscillation decomposition
Timo S. Hänninen
In this note, we do the following: a) By using Lacey's recent technique, we give an alternative proof for Conde-Alonso and Rey's domination theorem, which states that each positive…
Another proof of Scurry's characterization of a two weight norm inequality for a sequence-valued positive dyadic operator
Timo S. Hänninen
In this note we prove Scurry's testing conditions for the boundedness of a sequence-valued averaging positive dyadic operator from a weighted Lp space to a sequence-valued weighted…
The A_2 theorem and the local oscillation decomposition for Banach space valued functions
Timo S. Hänninen, Tuomas P. Hytönen
We prove that the operator norm of every Banach space valued Calderon-Zygmund operator T on the weighted Lebesgue-Bochner space depends linearly on the Muckenhoupt A_2 characterist…