T. Hytönen

activity

20072026

most citedNon-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals

110 citations · 529 across the 44 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017★ 5 cited

Multi-parameter estimates via operator-valued shifts

Tuomas Hytönen, Henri Martikainen, Emil Vuorinen

We prove new results for multi-parameter singular integrals. For example, we prove that bi-parameter singular integrals in $R^{n + m}$ satisfying natural $T 1$ type condition…

math.FA2017★ 46 cited

The space $J N_{p}$ : nontriviality and duality

Galia Dafni, Tuomas Hytönen, Riikka Korte +1

We study a function space $J N_{p}$ based on a condition introduced by John and Nirenberg as a variant of BMO. It is known that $L^{p} \subset J N_{p} ⊊ L^{p, \infty}$ , but otherwi…

math.CA2017★ 15 cited

The sharp square function estimate with matrix weight

Tuomas Hytönen, Stefanie Petermichl, Alexander Volberg

We prove the matrix $A_{2}$ conjecture for the dyadic square function, that is, a norm estimate of the matrix weighted square function, where the focus is on the sharp linear depende…

Multi-parameter estimates via operator-valued shifts

The space JNp​: nontriviality and duality

The sharp square function estimate with matrix weight

The space $J N_{p}$ : nontriviality and duality