Generalized fractional integral operators on Musielak–Orlicz–Morrey spaces of an integral form over metric measure spaces
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DOI: 10.1002/mana.70064
Abstract: In this paper, we discuss the boundedness of generalized fractional integral operators Iρ,τ$I_{\rho,\tau }$ on Musielak–Orlicz–Morrey spaces of an integral form LΦ,ω,θ1(X)$\mathcal {L}^{\Phi,\omega, \theta _1}(X)$ over bounded non‐doubling metric measure spaces X$X$ , where both… read more here.
Keywords: morrey spaces; musielak orlicz; fractional integral; orlicz morrey ... 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
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
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
Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball
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DOI: 10.1080/17476933.2018.1429419
Abstract: ABSTRACT We introduce central generalized Orlicz–Morrey spaces on the unit ball, and study the weighted behavior of spherical means for Riesz potentials of functions in those spaces. We also treat Orlicz–Morrey–Sobolev functions which are monotone… read more here.
Keywords: orlicz morrey; central generalized; unit ball; generalized orlicz ... See more keywords
On mixed norm Bergman–Orlicz–Morrey spaces
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DOI: 10.1515/gmj-2018-0027
Abstract: Abstract Following the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with… read more here.
Keywords: morrey spaces; mixed norm; norm bergman; bergman orlicz ... See more keywords