Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces

Riesz potentials in the local variable Morrey-Lorentz spaces and some applications

“…These spaces are a very natural generalization of the Lorentz spaces such that M loc p,q;0 (R n ) = L p,q (R n ). Recently, in [2,13] and [14] the authors have studied the boundedness of the Hilbert transform, the Hardy-Littlewood maximal operator M and the Calderón-Zygmund operators T , and the Riesz potential I α on the local Morrey-Lorentz spaces M loc p,q;λ by using related rearrangement inequalities, respectively.…”

Bochner–Riesz operators in grand lebesgue spaces

“…[23, chapter5], [9,10,13,29,35,42,43], etc. The boundedness of these operators in Morrey-Lorentz spaces and in L p spaces with variable exponent has been investigated in [25] and [8], respectively.…”

Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

“…These spaces are a very natural generalization of the Lorentz spaces such that M loc p,q;0 (R n ) = L p,q (R n ). Recently, in [2,14] and [15] the authors have studied the boundedness of the Hilbert transform, the Hardy-Littlewood maximal operator M and the Calderón-Zygmund operators T , and the Riesz potential I α on the local Morrey-Lorentz spaces M loc p,q;λ by using related rearrangement inequalities, respectively. In [35], the authors give the definition of central Lorentz-Morrey space of variable exponent by the symmetric decreasing rearrangement.…”