18 citations · 33 across the 12 of their papers we have counts for
13 papers
A note on continuity of strongly singular Calderón-Zygmund operators in Hardy-Morrey spaces
Marcelo de Almeida, Tiago Picon, Claudio Vasconcelos
In this note we address the continuity of strongly singular Calderón-Zygmund operators on Hardy-Morrey spaces , assuming weaker integral condition…
A note on Lebesgue solvability of elliptic homogeneous linear equations with measure data
Victor Biliatto, Tiago Picon
In this work, we present new results on solvability of the equation for and positive measure data associated to an elliptic homogeneous linear diffe…
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces
Galia Dafni, Chun Ho Lau, Tiago Picon +1
In this work we present necessary cancellation conditions for the continuity of linear operators in , , that map atoms into pseudo-molecules. Our nece…
Inhomogeneous cancellation conditions and Calderón-Zygmund type operators on
Galia Dafni, Chun Ho Lau, Tiago Picon +1
In this work we present a new approach to molecules on Goldberg's local Hardy spaces , , assuming an appropriate cancellation condition. As application…
On the continuity of strongly singular Calderón-Zygmund-type operators on Hardy spaces
Claudio Vasconcelos, Tiago Picon
In this work, we establish results on the continuity of strongly singular Calderón-Zygmund operators of type on Hardy spaces for assuming a weak…
Stein-Weiss inequality in norm for vector fields
Pablo De Nápoli, Tiago Picon
In this work, we investigate the limit case of the classical Stein--Weiss inequality for the Riesz potential.We present a characterization for a special class of vector field…
Fourier transform decay of distributions in Hardy-Morrey spaces
Marcelo F. de Almeida, Tiago H. Picon
In this paper we establish decay estimates for Fourier transform on Hardy-Morrey spaces and its localizable version. Our work include some aspects to these spaces linked up with po…
On Local Continuous Solvability of Equations Associated to Elliptic and Canceling Linear Differential Operators
Laurent Moonens, Tiago Picon
Consider an elliptic and canceling linear differential operator of order with smooth complex coefficients in $Ω\subset \mathb…
Fractional Hardy-Sobolev inequalities for canceling elliptic differential operators
Jorge Hounie, Tiago Picon
Let be an elliptic homogeneous linear differential operator of order on , , from a complex vector space E to a complex vector space F. In this…
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…