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ABSTRACT We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from into .… Click to show full abstract
ABSTRACT We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from into . We also obtain an analogous estimates for their commutators with BMO symbols. We include some estimates for a generalized maximal operator in the variable context , and its fractional version, , between variable versions of type spaces, where and are exponents belonging to certain classes.
Keywords:
potential operators;
operators commutators;
lebesgue spaces;
commutators acting;
variable lebesgue;
acting variable
Journal Title: Integral Transforms and Special Functions
Year Published: 2018
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Journal Title: Integral Transforms and Special Functions
Year Published: 2018
Link to full text (if available)
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recommendations!