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 ${\dot{H}}^{1,p}({\mathbb{R}}^d)$ when $1/p < 1+1/d…