Olsen-type inequalities for the generalized commutator of multilinear fractional integrals

Xiao YU; SHANZHEN LU

Makale detayları

Olsen-type inequalities for the generalized commutator of multilinear fractional integrals

Yazarlar:

Xiao YU | SHANZHEN LU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2348-2370

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745766

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we study certain multilinear operators of  fractional integral type defined by  I^{\vec{A}}_{\alpha}\vec{f}(x)=\int_{%  %TCIMACRO{\U{211d} }%  %BeginExpansion  (\mathbb{R}  %EndExpansion  ^{n})^m}\frac{f_1(y_1)\cdots f_m(y_m)}{|(x-y_1,\cdots,x-y_m)|^{mn-\alpha+\sum\limits_{i=1}^m(N_i-1)}}\prod\limits_{i=1}^mR_{N_i}(A_i;x,y_i)d\vec{y},I^{\vec{A}}_{\alpha}\vec{f}(x)=\int_{%  %TCIMACRO{\U{211d} }%  %BeginExpansion  (\mathbb{R}  %EndExpansion  ^{n})^m}\frac{f_1(y_1)\cdots f_m(y_m)}{|(x-y_1,\cdots,x-y_m)|^{mn-\alpha+\sum\limits_{i=1}^m(N_i-1)}}\prod\limits_{i=1}^mR_{N_i}(A_i;x,y_i)d\vec{y},  I^{\vec{A}}_{\alpha}\vec{f}(x)=\int_{%  %TCIMACRO{\U{211d} }%  %BeginExpansion  (\mathbb{R}  %EndExpansion  ^{n})^m}\frac{f_1(y_1)\cdots f_m(y_m)}{|(x-y_1,\cdots,x-y_m)|^{mn-\alpha+\sum\limits_{i=1}^m(N_i-1)}}\prod\limits_{i=1}^mR_{N_i}(A_i;x,y_i)d\vec{y},    where $0< \alpha.

Makale detayları

Olsen-type inequalities for the generalized commutator of multilinear fractional integrals

Yazarlar: Xiao YU | SHANZHEN LU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2348-2370

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745766

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Xiao YU | SHANZHEN LU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2348-2370

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745766

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098