
Summary: In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear operators, which extend some known results.
variable exponent, Singular and oscillatory integrals (Calderón-Zygmund, etc.), sublinear operator, anisotropic Herz-Morrey space, boundedness, Function spaces arising in harmonic analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
variable exponent, Singular and oscillatory integrals (Calderón-Zygmund, etc.), sublinear operator, anisotropic Herz-Morrey space, boundedness, Function spaces arising in harmonic analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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