P. Honzík

activity

20032022

most citedThe Hörmander multiplier theorem, II: The bilinear local

L^{2}

case

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.CA2022

Multilinear rough singular integral operators

Loukas Grafakos, Danqing He, Petr Honzik +1

We study $m$ -linear homogeneous rough singular integral operators $L_{Ω}$ associated with integrable functions $Ω$ on $S^{mn - 1}$ with mean value zero. We prove bou…

math.CA2016★ 2 cited

The Hörmander multiplier theorem, II: The bilinear local $L^{2}$ case

Loukas Grafakos, Danqing He, Petr Honzík

We use wavelets of tensor product type to obtain the boundedness of bilinear multiplier operators on $R^{n} \times R^{n}$ associated with Hörmander multipliers on $\math…

math.CA2005

On maximal functions for Mikhlin-Hoermander multipliers

Loukas Grafakos, Petr Honzik, Andreas Seeger

Given Mikhlin-Hörmander multipliers $m_{i}$ , $i = 1, ..., N$ , with uniform estimates we prove an optimal $lo g (N + 1)$ bound in $L^{p}$ for the maximal function $\sup_i|\cF^{-1}[m_i\…

math.CA2003

Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

Michael Christ, Loukas Grafakos, Petr Honzik +1

We show that maximal operators formed by dilations of Mikhlin-H"ormander multipliers are typically not bounded on $L^{p} (R^{d})$ . We also give rather weak conditions in terms of the de…

Multilinear rough singular integral operators

The Hörmander multiplier theorem, II: The bilinear local L2 case

On maximal functions for Mikhlin-Hoermander multipliers

Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

The Hörmander multiplier theorem, II: The bilinear local $L^{2}$ case