On operators with complex Gaussian kernels over Lp spaces

On operators with complex Gaussian kernels over Lp spaces

In this paper we study new Lp-boundedness properties and Parseval-type relations concerning the operators with complex Gaussian kernels over the spaces Lp(R,w(x)dx), 1 ? p ? ?, where w represents any function greater than or equal to one almost everywhere on R. Here, the Gauss-Weierstrass semigroup...

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Veröffentlicht in:Filomat 2019, Vol.33 (9), p.2861-2866
Hauptverfasser: González, B.J., Negrína, E.R.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we study new Lp-boundedness properties and Parseval-type relations concerning the operators with complex Gaussian kernels over the spaces Lp(R,w(x)dx), 1 ? p ? ?, where w represents any function greater than or equal to one almost everywhere on R. Here, the Gauss-Weierstrass semigroup is considered as a particular case of this analysis. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1909861G