A NOTE ON CONVOLUTION-TYPE CALDERON-ZYGMUND OPERATORS

For convolution-type Calderon-Zygmund operators, by the boundedness on Besov spaces and Hardy spaces, applying interpolation theory and duality, it is known that Hormander condition can ensure the boundedness on Triebel-Lizorkin spaces (F) over dot(p)(0,q) (1 < p, q < infinity) and on a party of endpoint spaces (F) over dot(1)(0,q) (1 <= q <= 2), but this idea is invalid for endpoint M-iebel-Lizorkin spaces (F) over dot(1)(0,q) (2 < q <= infinity). In this article, the authors apply wavelets and interpolation theory to establish the boundedness on (F) over dot(1)(0,q) (2 < q <= infinity) under an integrable condition which approaches Hormander condition infinitely.