Hussain AL-QASSEM

7386

Weighted Boundedness for a Rough Homogeneous Singular Integral

A weighted norm inequality for a homogeneous singular integral with a kernel belonging to a certain block space is proved. Also, some applications of this inequality are obtained. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

Anahtar Kelimeler:

Singular integral, rough kernel, block space, weighted norm inequality

Weighted Boundedness for a Rough Homogeneous Singular Integral

A weighted norm inequality for a homogeneous singular integral with a kernel belonging to a certain block space is proved. Also, some applications of this inequality are obtained. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

Keywords:

Singular integral, rough kernel, block space, weighted norm inequality,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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