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In this paper we shall prove some weighted norm inequalities
of the form [수식] for certain rough singular integral T and maximal singular integral T*.
Here u is a nonnegative measurable function on Rn and N denotes some
maximal operator. As a consequence, some vector valued inequalities for
both T and T* are obtained. We shall also get a boundedness result of
T on the Triebel-Lizorkin spaces.
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참고문헌 (20)
참고문헌 신청
A. Cordoba / 1976 / A weighted norm inequality for singular integrals / Studia Mathematica 57 (1) : 97 ~ 101
A. M. Vargas / 1996 / Weighted weak type (1, 1) bounds for rough operators / Journal of the London Mathematical Society 54 (2) : 297 ~ 310
A. P. Calder´on / 1956 / On singular integrals / American Journal of Mathematics 78 : 289 ~ 309
C. Fefferman / 1971 / Some maximal inequalities / American Journal of Mathematics 93 : 107 ~ 115
D. K. Watson / 1994 / Vector-valued inequalities, factorization, and extrapolation for a family of rough operators / Journal of Functional Analysis 121 (2) : 389 ~ 415
A. M. Vargas / 1996 / Weighted weak type (1, 1) bounds for rough operators / Journal of the London Mathematical Society 54 (2) : 297 ~ 310
A. P. Calder´on / 1956 / On singular integrals / American Journal of Mathematics 78 : 289 ~ 309
C. Fefferman / 1971 / Some maximal inequalities / American Journal of Mathematics 93 : 107 ~ 115
D. K. Watson / 1994 / Vector-valued inequalities, factorization, and extrapolation for a family of rough operators / Journal of Functional Analysis 121 (2) : 389 ~ 415
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