This chapter deals with mapping properties of maximal, singular integral, and potential operators in weighted generalized grand Lebesgue spaces. Weak and strong type weighted inequalities criteria for these operators (including similar integral transform with product kernels) are established. Single-weight criteria in grand Lebesgue spaces for the Hardy and Riemann-Liouville operators on the cone of non-increasing functions are derived.
|Title of host publication||Operator Theory|
|Subtitle of host publication||Advances and Applications|
|Publisher||Springer International Publishing|
|Number of pages||109|
|Publication status||Published - 2016|
|Name||Operator Theory: Advances and Applications|
ASJC Scopus subject areas