18 citations · 33 across the 12 of their papers we have counts for
4 papers · 1 filter
Regularity of maximal functions on Hardy-Sobolev spaces
Carlos Pérez, Tiago Picon, Olli Saari +1
We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy-Sobolev spaces when $1/p < 1+1/d…
The critical exponent(s) for the semilinear fractional diffusive equation
Marcello D'Abbicco, Marcelo Rempel Ebert, Tiago Henrique Picon
In this paper we show that there exist two different critical exponents for global small data solutions to the semilinear fractional diffusive equation with Caputo fractional deriv…
Pseudodifferential Operators, Rellich-Kondrachov Theorem and Hardy-Sobolev Spaces
G. Hoepfner, R. Kapp, T. Picon
We will present versions of the Rellich-Kondrachov theorem for pseudo-differential operators acting on localizable Hardy spaces. One of the techniques includes boundedness properti…
Continuous solutions for divergence-type equations associated to elliptic systems of complex vector fields
Laurent Moonens, Tiago Picon
In this paper, we characterize all the distributions such that there exists a continuous weak solution (with ) to t…