Sublinear operators on Herz–Hardy spaces with variable exponents
Copyright policy )Sublinear operators on Herz–Hardy spaces with variable exponents
AbstractIn this paper, we establish the mapping properties of sublinear operators on Herz–Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz–Hardy spaces with variable exponents. In particular, we study the mapping properties of the multiplier operators, the Littlewood–Paley functions and the parametric Marcinkiewicz integrals on the Herz–Hardy spaces with variable exponents.
- Education University of Hong Kong China (People's Republic of)
variable exponent, Singular and oscillatory integrals (Calderón-Zygmund, etc.), extrapolation, Littlewood-Paley functions, Hardy space, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), multipliers, Herz spaces, sublinear operators, Function spaces arising in harmonic analysis, Marcinkiewicz integrals
variable exponent, Singular and oscillatory integrals (Calderón-Zygmund, etc.), extrapolation, Littlewood-Paley functions, Hardy space, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), multipliers, Herz spaces, sublinear operators, Function spaces arising in harmonic analysis, Marcinkiewicz integrals
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