TY - CHAP
T1 - Singular integrals and potentials in grand Lebesgue spaces
AU - Kokilashvili, Vakhtang
AU - Meskhi, Alexander
AU - Rafeiro, Humberto
AU - Samko, Stefan
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-319-21018-6_4
DO - 10.1007/978-3-319-21018-6_4
M3 - Chapter
AN - SCOPUS:85007164266
T3 - Operator Theory: Advances and Applications
SP - 741
EP - 849
BT - Operator Theory
PB - Springer International Publishing
ER -