Stability of integral operators on a space of homogeneous type
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DOI: 10.1002/mana.201500389
Abstract: In this paper, we consider integral operators T on compact spaces of homogeneous type with finite diameter, whose kernels have certain Holder regularity and mild singularity near the diagonal. We show that given any ,… read more here.
Keywords: stability integral; integral operators; homogeneous type; operators space ... See more keywords
Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type
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DOI: 10.1002/mana.201900320
Abstract: Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher… read more here.
Keywords: maximal functions; hardy spaces; homogeneous type; local hardy ... 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
A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of Rn
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DOI: 10.1016/j.jmaa.2021.125482
Abstract: Abstract We study the relationship between the concept of a continuous ellipsoid Θ cover of R n , which was introduced by Dahmen, Dekel, and Petrushev [7] , [8] , [11] , and the space… read more here.
Keywords: type induced; continuous ellipsoid; homogeneous type; spaces homogeneous ... See more keywords