A note on convolution-type Calderón-Zygmund operators

For convolution-type Calderón-Zygmund operators, by the boundedness on Besov spaces and Hardy spaces, applying interpolation theory and duality, it is known that Hörmander condition can ensure the boundedness on Triebel-Lizorkin spaces and on a party of endpoint spaces , but this idea is invalid for endpoint Triebel-Lizorkin spaces . In this article, the authors apply wavelets and interpolation theory to establish the boundedness on under an integrable condition which approaches Hörmander condition infinitely.