Logarithmic L p Bounds for Maximal Directional Singular Integrals in the Plane
نویسندگان
چکیده
منابع مشابه
L Bounds for Singular Integrals and Maximal Singular Integrals with Rough Kernels
Convolution type Calderón-Zygmund singular integral operators with rough kernels p.v. Ω(x)/|x| are studied. A condition on Ω implying that the corresponding singular integrals and maximal singular integrals map L → L for 1 < p < ∞ is obtained. This condition is shown to be different from the condition Ω ∈ H1(Sn−1).
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2012
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-012-9340-2