L^p bounds for singular integrals and maximal singular integrals with rough kernels
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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These notes are a guide for the course to be taught at the NCTS 2005 Summer School on Harmonic Analysis in Taiwan. They contain a description of results and sometimes short indications about the proofs. Moreover, each section contains a list of references. For an introduction to the subject it is better to go to the books mentioned in the bibliography at the end of the notes: each one of them i...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1998
ISSN: 0022-2518
DOI: 10.1512/iumj.1998.47.1521