Two-weight inequalities for convolution operators in Lebesgue space (Q881043)

The author considers convolution operators \(Tf=K*f\) for kernels \(K\) satisfying Hörmander type conditions and proves the inequalities \[ \int_{\mathbb{R}^n}| Tf(x)|^p\omega_1(| x|)\,dx\leq c\int_{\mathbb{R}^n}| f(x)|^p\omega(| x|)\,dx, \; 1<p<\infty, \] for certain weights \(\omega\) and \(\omega_1\).