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Classification of anisotropic Triebel-Lizorkin spaces. [PDF]
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The Boundedness of the $B$-Riesz Potential in the $B$-Morrey Spaces
Sarajevo Journal of MathematicsWe consider the generalized shift operator ($B$ shift operator),generated by the Laplace-Bessel differential operator $\Delta_{B}=\sum_{i=1}^{k}B_{i}+ \sum_{j=k+1}^{n}\frac {\partial ^2}{\partial x_j^2},$ $B=\left(B_1,\ldots,B_k \right)$,$B_i=\frac ...
Avanshir J. Hasanov, A. K. Narimanov
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Morrey potentials from Campanato classes
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018This paper shows that under 8 >>>>>>>< >>>>>>>: 0 < , n; 1 < n; 1 p, q < 1; p 1(n ) < ↵ < min n, 1+ p 1 ; = p 1q( ↵p) + n < 8 >< >: + " 8 " > 0 as ↵ 1 p < 1 + " 8 " > 0 as 1 < p < ↵ 1 + (n )(n ↵ ) n ↵ as 1 ...
Liguang Liu, J. Xiao
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Generalized Fractional Integral Operators on Vanishing Generalized Local Morrey Spaces
, 2017In this paper, we prove the Spanne-Guliyev type boundedness of the generalized fractional integral operator Iρ from the vanishing generalized local Morrey spaces V LM {x0} p,φ1 to V LM {x0} q,φ2 , 1 < p < q < ∞, and from the space V LM {x0} 1,φ1 to the ...
A. Kucukaslan, S. G. Hasanov, C. Aykol
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