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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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