Parameterized Littlewood--Paley operators and their commutators on Herz spaces with variable exponents

Lijuan WANG; Shuangping TAO

Makale detayları

Parameterized Littlewood--Paley operators and their commutators on Herz spaces with variable exponents

Yazarlar:

Lijuan WANG | Shuangping TAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 1, pp.122-145

Belge Tipi:

Makale

Yayın Tarihi:

1/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747062

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The aim of this paper is to deal with Littlewood--Paley operators with real parameters, including the parameterized Lusin area integrals and the parameterized Littlewood--Paley g∗λgλ∗g_{\lambda}^{\ast}-functions, and their commutators on  Herz spaces with two variable exponents p(⋅), q(⋅)p(⋅), q(⋅)p(\cdot),~q(\cdot). By using the properties of  the Lebesgue spaces with variable exponents,  the  boundedness of the parameterized Littlewood--Paley operators and their commutators generated respectively by BMO function and Lipschitz function is obtained on those Herz spaces.

Makale detayları

Parameterized Littlewood--Paley operators and their commutators on Herz spaces with variable exponents

Yazarlar: Lijuan WANG | Shuangping TAO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 1, pp.122-145

Belge Tipi: Makale

Yayın Tarihi: 1/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000747062

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Lijuan WANG | Shuangping TAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 1, pp.122-145

Belge Tipi:

Makale

Yayın Tarihi:

1/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747062

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098