Commutator of Riesz potential in p-adic generalized Morrey spaces
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DOI: 10.1007/s11464-018-0696-x
Abstract: Suppose that Ipα is the p-adic Riesz potential. In this paper, we established the boundedness of Ipα on the p-adic generalized Morrey spaces, as well as the boundedness of the commutators generated by the p-adic… read more here.
Keywords: riesz potential; adic generalized; morrey spaces; potential adic ... See more keywords
Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications
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DOI: 10.1007/s13324-024-00934-x
Abstract: For a certain class of radial weights, we prove weighted norm estimates for commutators with BMO coefficients of singular operators in local generalized Morrey spaces. As a consequence of these estimates, we obtain norm inequalities… read more here.
Keywords: singular operators; morrey spaces; muckenhoupt range; generalized morrey ... See more keywords
Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces
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DOI: 10.1186/s13661-018-1002-2
Abstract: Let L=−Δ+V$L=-\Delta+V$ be a Schrödinger operator on Rn$\mathbb{R}^{n}$, where n≥3$n\ge3$ and the nonnegative potential V belongs to the reverse Hölder class RHq1$RH_{q_{1}}$ for some q1>n/2$q_{1} > n/2$. Let b belong to a new Campanato space… read more here.
Keywords: morrey spaces; varphi alpha; generalized morrey; operator ... See more keywords
Approximation in generalized Morrey spaces
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DOI: 10.1515/gmj-2018-0023
Abstract: Abstract In this paper we study the approximation of functions from generalized Morrey spaces by nice functions. We introduce a new subspace whose elements can be approximated by infinitely differentiable compactly supported functions. This provides,… read more here.
Keywords: approximation generalized; morrey spaces; generalized morrey;
Compactness of Commutators for Riesz Potential on Generalized Morrey Spaces
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DOI: 10.3390/math12020304
Abstract: In this paper, we give the sufficient conditions for the compactness of sets in generalized Morrey spaces Mpw(·). This result is an analogue of the well-known Fréchet–Kolmogorov theorem on the compactness of a set in… read more here.
Keywords: potential generalized; morrey spaces; generalized morrey; compactness commutators ... See more keywords