New Estimates for the Maximal Singular Integral
نویسندگان
چکیده
منابع مشابه
New estimates for the maximal singular integral
In this paper we pursue the study of the problem of controlling the maximal singular integral T ∗f by the singular integral Tf . Here T is a smooth homogeneous Calderón-Zygmund singular integral of convolution type. We consider two forms of control, namely, in the L2(Rn) norm and via pointwise estimates of T ∗f by M(Tf) or M2(Tf) , where M is the Hardy-Littlewood maximal operator and M2 = M ◦M ...
متن کاملEstimates for Maximal Singular Integrals
It is shown that maximal truncations of nonconvolution L-bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1, 1) and L bounded for 1 < p < ∞. Under stronger smoothness conditions, such estimates can be obtained using a generalization of Cotlar’s inequality. This inequality is not applicable here and the point of this article is to treat the bounded...
متن کاملA Sharp Maximal Function Estimate for Vector-Valued Multilinear Singular Integral Operator
We establish a sharp maximal function estimate for some vector-valued multilinear singular integral operators. As an application, we obtain the $(L^p, L^q)$-norm inequality for vector-valued multilinear operators.
متن کاملLimiting Weak–type Behavior for Singular Integral and Maximal Operators
The following limit result holds for the weak–type (1,1) constant of dilation-commuting singular integral operator T in Rn: for f ∈ L1(Rn), f ≥ 0, lim λ→0 λ m{x ∈ R : |Tf(x)| > λ} = 1 n ∫ Sn−1 |Ω(x)|dσ(x)‖f‖1. For the maximal operator M , the corresponding result is lim λ→0 λ m{x ∈ R : |Mf(x)| > λ} = ‖f‖1.
متن کاملSharp maximal function estimates for multilinear singular integrals
A new proof of a weighted norm inequality for multilinear singular integrals of Calderón-Zygmund type is presented through a more general estimate involving a sharp maximal function. An application is given to the study of certain multilinear commutators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2010
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnq017