TWO-WEIGHTED INEQUALITY FOR p-ADMISSIBLE Bk,n-SINGULAR OPERATORS IN WEIGHTED LEBESGUE SPACES
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Kirsehir Ahi Evran University, Türkiye
Fatai A. Isayev
Azerbaijan National Academy of Sciences (ANAS), Azerbaycan
Zaman V. Safarov
Azerbaijan National Academy of Sciences (ANAS), Azerbaycan
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | ||
| Dergi ISSN | 2409-4986 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 40 / 1 / 122–146 | DOI | – |
| Özet |
| In this paper, we study the boundedness of p-admissible singular operators, associated with the Laplace-Bessel differential operator Bk,n =Sigma(n)(i-1)partial derivative(2)/partial derivative x(i)(2) + Sigma(n)(i-1)gamma(j)/x(j)partial derivative/partial derivative x(i) (p-admissible B-k,(n)-singular operators) on a 3=1 xj weighted Lebesgue spaces Lp,omega,gamma(R(k)(,)n) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the B-k,(n) maximal operator, B-k,(n) singular integral operators and so on. Sufficient conditions on weighted functions w and wi are given so that p-admissible B-k,(n) singular operators are bounded from L-p,L-omega,L-gamma( R-k(n),+) to L-p,L-omega,L-gamma( R-k(n),+) for 1 < p < infinity and weak p-admissible Bk,Th singular operators are bounded from L-p,L-omega,L-gamma( R-k(n),+) to L-p,L-omega,L-gamma( R-k(n),+) for 1 < p < infinity. |
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