Ahmad Al-SALMAN, Ali AL-JARRAH

7891

Rough Oscillatory Singular Integral Operators-II

In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. We prove that such operators are bounded on Lp. Our results extend and improve previously known results. Variations of our approach in this paper can be applied to handle more general oscillatory singular integral operators. This concludes by indicating a variety of results that can be obtained.
Anahtar Kelimeler:

Oscillatory singular integral operators, Rough kernels, Lp estimates, Hardy Littlewood maximal function

Rough Oscillatory Singular Integral Operators-II

In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. We prove that such operators are bounded on Lp. Our results extend and improve previously known results. Variations of our approach in this paper can be applied to handle more general oscillatory singular integral operators. This concludes by indicating a variety of results that can be obtained.
Keywords:

Oscillatory singular integral operators, Rough kernels, Lp estimates, Hardy Littlewood maximal function,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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