Petr Chunaev

collaborators

2 papers

math.CA2016

Singular integrals unsuitable for the curvature method whose $L^{2}$ -boundedness still implies rectifiability

Petr Chunaev, Joan Mateu, Xavier Tolsa

The well-known curvature method initiated in works of Melnikov and Verdera is now commonly used to relate the $L^{2} (μ)$ -boundedness of certain singular integral operators to the geo…

math.CA2014

On Hölder and Minkowski Type Inequalities

Petr Chunaev, Ljiljanka Kvesić, Josip Pečarić

We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.

Singular integrals unsuitable for the curvature method whose L2-boundedness still implies rectifiability

On Hölder and Minkowski Type Inequalities

Singular integrals unsuitable for the curvature method whose $L^{2}$ -boundedness still implies rectifiability