On the limiting case for boundedness of the B-Riesz potential in B-Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Baku State University, Azerbaycan
Harran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis Mathematica (Q4) | ||
| Dergi ISSN | 0133-3852 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2009 |
| Cilt / Sayı / Sayfa | 35 / 2 / 87–97 | DOI | 10.1007/s10476-009-0201-6 |
| Özet |
| We consider the generalized shift operator associated with the Laplace Bessel differential operator Delta(B) = Sigma(n)(i=1) partial derivative(2)/partial derivative x(j)(2) + Sigma(k)(i=1) gamma(i)/x(i) partial derivative/partial derivative x(i) , and study the modified B-Riesz potential (I) over tilde (alpha,gamma) generated by the generalized shift operator acting in the B-Morrey space in the limiting case. We prove that the operator (I) over tilde (alpha,gamma), 0 < alpha < n + vertical bar gamma vertical bar, is bounded from the B-Morrey space L((n+vertical bar gamma vertical bar-lambda)/alpha,lambda,gamma)(R(k,+)(n)) to the B-BMO space BMO(gamma)(R(k,+)(n)). |
| Anahtar Kelimeler |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 5 |