Commutators with Coefficients in CMO of Weighted Hardy Operators in Generalized Local Morrey Spaces
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DOI: 10.1007/s00009-017-0872-3
Abstract: We prove theorems on the boundedness of commutators $$[a,H_w^\alpha ]$$[a,Hwα] of the weighted multidimensional Hardy operator $$H^\alpha _w:= w H^\alpha \frac{1}{w}$$Hwα:=wHα1w from a generalized local Morrey space $$\mathcal {L}^{p,\varphi ;0}({\mathbb {R}^n})$$Lp,φ;0(Rn) to local or global… read more here.
Keywords: local morrey; hardy; morrey spaces; space ... See more keywords
Some Characterizations of Lipschitz Spaces via Commutators on Generalized Orlicz–Morrey Spaces
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DOI: 10.1007/s00009-018-1226-5
Abstract: In this paper, we give some new characterizations of the Lipschitz spaces via the boundedness of commutators associated with the fractional maximal operator, Riesz potential and Calderón–Zygmund operator on generalized Orlicz–Morrey spaces. read more here.
Keywords: morrey spaces; generalized orlicz; spaces via; orlicz morrey ... See more keywords
Semigroups of Composition Operators in Analytic Morrey Spaces
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DOI: 10.1007/s00020-020-2568-5
Abstract: Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups… read more here.
Keywords: morrey spaces; operators analytic; analytic morrey; composition operators ... See more keywords
Variable Exponent Besov–Morrey Spaces
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DOI: 10.1007/s00041-019-09711-y
Abstract: In this paper we introduce Besov–Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of… read more here.
Keywords: morrey spaces; morrey; besov morrey; variable exponent ... See more keywords
Bilinear estimates on Morrey spaces by using average
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DOI: 10.1007/s10476-020-0031-0
Abstract: This paper is a follow up of a recent work of the author and Y. Sawano [6], in 2019. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3], 1992.… read more here.
Keywords: morrey spaces; paper; bilinear estimates; spaces using ... See more keywords
Uniform boundedness of Kantorovich operators in Morrey spaces
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DOI: 10.1007/s11117-018-0561-x
Abstract: In this paper, the Kantorovich operators $$K_n, n\in \mathbb {N}$$Kn,n∈N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference $$K_n(f)-f$$Kn(f)-f for… read more here.
Keywords: morrey spaces; kantorovich operators; uniform boundedness; operators morrey ... See more keywords
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
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DOI: 10.1007/s11117-018-0635-9
Abstract: In the present paper, we will characterize the boundedness of the generalized fractional integral operators $$I_{\rho }$$Iρ and the generalized fractional maximal operators $$M_{\rho }$$Mρ on Orlicz spaces, respectively. Moreover, we will give a characterization… read more here.
Keywords: morrey spaces; generalized orlicz; generalized fractional; orlicz morrey ... See more keywords
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
Approximation by trigonometric polynomials in variable exponent Morrey spaces
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DOI: 10.1007/s13324-018-0231-y
Abstract: We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space $${{\mathcal {M}}}^{p(\cdot ),\lambda (\cdot )}$$Mp(·),λ(·) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the… read more here.
Keywords: morrey spaces; trigonometric polynomials; polynomials variable; variable exponent ... See more keywords
A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type
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DOI: 10.1007/s13324-019-00295-w
Abstract: In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz–Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition… read more here.
Keywords: morrey spaces; generalized orlicz; orlicz morrey; homogeneous type ... See more keywords
Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups
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DOI: 10.1007/s13324-020-00360-9
Abstract: In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator $$M_{\alpha }$$ , $$0\le \alpha read more here.
Keywords: morrey spaces; weighted morrey; fractional maximal; generalized weighted ... See more keywords