Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)

Ahmad AL-SALMAN

Makale detayları

Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)

Yazarlar:

Ahmad AL-SALMAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 3, pp.259-274

Belge Tipi:

Makale

Yayın Tarihi:

2/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748648

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper, we study the Lp mapping properties of a  certain class of maximal oscillatory singular integral operators.  We  establish the Lp boundedness of our operators provided that their  kernels belong to the natural space L log +L(Sn-1).  Our result  substantially improves a previously known result.  Moreover, the  approach developed in this paper can be applied to handle more general  maximal oscillatory singular integral operators.

 

In this paper, we study the Lp mapping properties of a  certain class of maximal oscillatory singular integral operators.  We  establish the Lp boundedness of our operators provided that their  kernels belong to the natural space L log +L(Sn-1).  Our result  substantially improves a previously known result.  Moreover, the  approach developed in this paper can be applied to handle more general  maximal oscillatory singular integral operators.

Makale detayları

Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)

Yazarlar:

Ahmad AL-SALMAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 3, pp.259-274

Belge Tipi:

Makale

Yayın Tarihi:

2/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748648

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Oscillatory singular integrals

Rough kernels

Maximal functions

Sayı

Makale detayları

Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)

Yazarlar: Ahmad AL-SALMAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2005 Vol.29 Issue 3, pp.259-274

Belge Tipi: Makale

Yayın Tarihi: 2/2005

Belge Dili: Türkçe

Document ID (Org No.): 2000748648

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Oscillatory singular integrals

Rough kernels

Maximal functions

Sayı

Yazarlar:

Ahmad AL-SALMAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 3, pp.259-274

Belge Tipi:

Makale

Yayın Tarihi:

2/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748648

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098