A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function

Joint Authors

Urbina, Wilfredo
Navas, Eduard

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-29, 29 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-08-01

Country of Publication

Egypt

No. of Pages

29

Main Subjects

Mathematics

Abstract EN

We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one, using the well-known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials.

American Psychological Association (APA)

Navas, Eduard& Urbina, Wilfredo. 2018. A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-29.
https://search.emarefa.net/detail/BIM-1186718

Modern Language Association (MLA)

Navas, Eduard& Urbina, Wilfredo. A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function. Journal of Function Spaces No. 2018 (2018), pp.1-29.
https://search.emarefa.net/detail/BIM-1186718

American Medical Association (AMA)

Navas, Eduard& Urbina, Wilfredo. A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-29.
https://search.emarefa.net/detail/BIM-1186718

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186718