Hussain AL-QASSEM, Ahmad AL-SALMAN

3617

Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels

In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.
Anahtar Kelimeler:

Singular integrals, oscillatory integrals, Fourier transform, Lp boundedness, rough kernels, block spaces.

Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels

In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.
Keywords:

Singular integrals, oscillatory integrals, Fourier transform, Lp boundedness, rough kernels, block spaces.,

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