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On the limiting case for boundedness of the B-Riesz potential in B-Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Javanshir J. Hasanov
Yusuf Zeren
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ANALYSIS MATHEMATICA
Dergi ISSN 0133-3852
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 06-2009
Cilt No 35
Sayı 2
Sayfalar 87 / 97
Doi Numarası 10.1007/s10476-009-0201-6