Contents V.12 N.2.2021

  • CALDERON-ZYGMUND OPERATORS WITH KERNELS OF DINI’S TYPE ´ AND THEIR MULTILINEAR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES
    V.S. GULIYEV, A.F. ISMAYILOVA (pp. 265-277)
  • Abstract.

    In this paper, we study the boundedness of the operators T and T⃗b on generalized weighted Morrey spaces Mp,φ(w) with the weight function w belonging to Muckenhoupt’s class Ap(R n ). We find the sufficient conditions on the pair (φ1, φ2) with ⃗b ∈ BMOm(R n ) and w ∈ Ap(R n ) which ensures the boundedness of the operators

    Keywords:

    generalized weighted Morrey spaces, Calderon-Zygmund operator, Ap weights, commutator, BMO.

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