T. Hänninen

activity

20142023

most citedOperator-valued dyadic shifts and the T(1) theorem

15 citations · 45 across the 7 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CA2014★ 12 cited

Two-weight $L^{p}$ - $L^{q}$ bounds for positive dyadic operators: unified approach to $p \leq q$ and $p > q$

Timo S. Hänninen, Tuomas P. Hytönen, Kangwei Li

We characterize the $L^{p} (σ) \to L^{q} (ω)$ boundedness of positive dyadic operators of the form $T (f σ) = \sum_{Q \in D} λ_{Q} \int_{Q} f d σ \cdot 1_{Q},$ and the $L^{p_1}(σ_1)…

math.CA2014★ 15 cited

Operator-valued dyadic shifts and the T(1) theorem

Timo S. Hänninen, Tuomas P. Hytönen

In this paper we extend dyadic shifts and the dyadic representation theorem to an operator-valued setting: We first define operator-valued dyadic shifts and prove that they are bou…

math.CA2014★ 3 cited

Two weight inequality for vector-valued positive dyadic operators by parallel stopping cubes

Timo S. Hänninen

We study the vector-valued positive dyadic operator \[T_λ(fσ):=\sum_{Q\in\mathcal{D}} λ_Q \int_Q f \mathrm{d}σ1_Q,\] where the coefficients ${λ_{Q} : C \to D}_{Q \in D}$ are p…

Two-weight Lp-Lq bounds for positive dyadic operators: unified approach to p≤q and p>q

Operator-valued dyadic shifts and the T(1) theorem

Two weight inequality for vector-valued positive dyadic operators by parallel stopping cubes

Two-weight $L^{p}$ - $L^{q}$ bounds for positive dyadic operators: unified approach to $p \leq q$ and $p > q$