On integral operators in weighted grand Lebesgue spaces of Banach-valued
The paper deals with boundedness problems to integral operators in
weighted grand Bochner-Lebesgue spaces. We will treat both cases: when a
weight function appears as a multiplier in the definition of the norm,
or when it defines the absolute continuous measure of integration.
Together with the diagonal case we deal with the off-diagonal case. To
get the appropriate result for the Hardy-Littlewood maximal operator we
rely on the reasonable bound of the sharp constant in the Buckley type
theorem which is also determined here.