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arXiv · 1212.6928

Generalized local Morrey spaces and fractional integral operators with rough kernel

Vagif S. Guliyev
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Abstract

Let $M_{Ω,\a}$ and $I_{Ω,\a}$ be the fractional maximal and integral operators with rough kernels, where $0 < \a < n$. In this paper, we shall study the continuity properties of $M_{Ω,\a}$ and $I_{Ω,\a}$ on the generalized local Morrey spaces $LM_{p,φ}^{x_0}$. The boundedness of their commutators with local Campanato functions is also obtained.

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Vagif S. Guliyev. 2012-12-31. Generalized local Morrey spaces and fractional integral operators with rough kernel. https://arxiv.org/abs/1212.6928

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