Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
Copyright policy )Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
There are found conditions for functions \(\alpha\), \(p\) and \(q\) which ensure the boundedness of multilinear commutators of Hardy-Littlewood maximal operators on variable inhomogeneous and homogeneous Herz spaces \(K^{\alpha(\cdot)}_{p(\cdot), q(\cdot)}\) and \(\dot{K}^{\alpha(\cdot)}_{p(\cdot), q(\cdot)}\). There are also found conditions that provide boundedness of multilinear commutators of singular integral operators from Herz-type Hardy spaces to Herz spaces.
- University of Mohamed El Bachir El Ibrahimi Algeria
- Université de M'Sila Algeria
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, multilinear commutators, Hardy-Littlewood maximal operator, singular integral operator, variable Herz-type Hardy space, Function spaces arising in harmonic analysis, variable Herz spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, multilinear commutators, Hardy-Littlewood maximal operator, singular integral operator, variable Herz-type Hardy space, Function spaces arising in harmonic analysis, variable Herz spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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