B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Z O O
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we consider the Laplace-Bessel differential operator Delta(Bk,n) = Sigma(k)(i=1) (partial derivative(2)/partial derivative x(i)(2) + gamma(i)/x(i) partial derivative/partial derivative x(i)) + Sigma(n)(i=k+1) partial derivative(2)/partial derivative x(i)(2), gamma(1) > 0,..., gamma(k) > 0. Furthermore, we define B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials associated with the Laplace-Bessel differential operator. Moreover, we also obtain the boundedness of the B-maximal commutator M-b,M-gamma and the commutator [b, A(gamma)] of the B-singular integral operator and Hardy-Littlewood-Sobolev-type theorem for the commutator [b, I-alpha,I-gamma] of the B-Riesz potential on B-Morrey spaces L-p,L-lambda,L-gamma, when b is an element of BMO gamma.
Açıklama
Anahtar Kelimeler
commutator, generalized shift operator, B-Riesz potential, B-maximal function, B-Morrey space, bounded mean oscillation (BMO) space
Kaynak
Open Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
18