Mapping Properties for Convolution Involving Hypergeometric Series
Sign Up to like & getrecommendations! Published in 2019 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-019-01611-0
Abstract: We introduce sufficient conditions for (Gaussian) hypergeometric functions to be in a subclass of analytic functions. In addition, we investigate several mapping properties for convolutions and integral convolutions involving hypergeometric functions. read more here.
Keywords: convolution involving; mapping properties; properties convolution; involving hypergeometric ... See more keywords
Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-017-0224-x
Abstract: In this paper, we consider pseudodifferential operators on the torus with operator-valued symbols and prove continuity properties on vector-valued toroidal Besov spaces, without assumptions on the underlying Banach spaces. The symbols are of limited smoothness… read more here.
Keywords: besov spaces; mapping properties; operator valued; pseudodifferential operators ... See more keywords
Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125061
Abstract: We prove sharp power-weighted $L^p$, weak type and restricted weak type inequalities for the heat semigroup maximal operator and Riesz transforms associated with the Bessel operator $B_{\nu}$ in the exotic range of the parameter $-\infty… read more here.
Keywords: properties fundamental; fundamental harmonic; analysis operators; harmonic analysis ... See more keywords
Mapping the Properties of Geological Objects with Allowance for Anisotropy Based on the Simulation of the Deformation Transformation
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DOI: 10.1134/s2070048218050095
Abstract: The statement for the problem on mapping the properties of geological objects is considered. Examples of its solution with allowance for anisotropy based on modeling the deformation transformation of an initially isotropic space within the… read more here.
Keywords: properties geological; geological objects; transformation; deformation ... See more keywords
Mapping Properties of Associate Laguerre Polynomials in Leminiscate, Exponential and Nephroid Domain
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DOI: 10.3390/sym14112303
Abstract: The function PL(z)=1+z maps the unit disc D={z∈C:|z| read more here.
Keywords: associate laguerre; laguerre polynomials; mapping properties; domain ... See more keywords