Stability of Localized Integral Operators on Weighted L Spaces
نویسندگان
چکیده
In this paper, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Hölder regularity and decay off the diagonal. Our model example is the Bessel potential operator Jγ , γ > 0. We show that if such a localized integral operator has stability on a weighted function space Lw for some p ∈ [1,∞) and Muckenhoupt Ap-weight w, then it has stability on weighted function spaces L ′ w′ for all 1 ≤ p′ <∞ and Muckenhoupt Ap′ -weights w′.
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