Hardy–Littlewood–Sobolev Inequality for Upper Half Space

Anoop, V. P.; Parui, Sanjay

doi:10.5802/ambp.401

Geodesic

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Hardy–Littlewood–Sobolev Inequality for Upper Half Space

Anoop, V. P.¹ ; Parui, Sanjay ^2,³

¹ Department of Mathematics Indian Institute of Science, Bangalore India, 560012.
² School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar India, 752050.
³ Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, India, 400094.

Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 2, pp. 117-140.

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Résumé

We define an extension operator and study $(L^{p}, L^{q})$ boundedness of Hardy–Littlewood–Sobolev inequality and weighted Hardy–Littlewood–Sobolev inequality on upper Half space for the Dunkl transform.

Publié le : 2022-04-14

DOI : 10.5802/ambp.401

Classification : 42B10, 42B35, 42B37
Keywords: Dunkl transform, Hardy–Littlewood–Sobolev inequality, Weighted Hardy inequality

Affiliations des auteurs :

Anoop, V. P. ¹ ; Parui, Sanjay ^{2, 3}

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Anoop, V. P. and Parui, Sanjay},
     title = {Hardy{\textendash}Littlewood{\textendash}Sobolev {Inequality} for {Upper} {Half} {Space}},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {117--140},
     publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal},
     volume = {28},
     number = {2},
     year = {2021},
     doi = {10.5802/ambp.401},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.401/}
}

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Anoop, V. P.; Parui, Sanjay. Hardy–Littlewood–Sobolev Inequality for Upper Half Space. Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 2, pp. 117-140. doi : 10.5802/ambp.401. http://geodesic.mathdoc.fr/articles/10.5802/ambp.401/

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