Weighted Norm Inequalities for a Class of Rough Maximal Operators

We consider maximal singular integral operators arising from rough kernels satisfying an H1-type condition on the unit (n-1)-sphere and prove weighted Lp estimates for certain radial weights. We also prove weighted Lp estimates with Ap-weights where in this case the H1 -type condition is replaced by an Lq-type condition with q > 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results.

Anahtar Kelimeler:

Lp boundedness, Hardy space, maximal operators, Fourier transform, rough kernel, Ap weight

Weighted Norm Inequalities for a Class of Rough Maximal Operators

Keywords:

Lp boundedness, Hardy space, maximal operators, Fourier transform, rough kernel, Ap weight,

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Department of Mathematics Yarmouk University Irbid-JORDAN e-mail: husseink@yu.edu.jo

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

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