| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
|
Fatai A. Isayev
|
|
Zaman V. Safarov
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| 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. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | 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 No | 40 |
| Sayı | 1 |
| Sayfalar | 122 / 146 |
