no. 2
Hardy–Littlewood–Sobolev Inequality for Upper Half Space
Anoop, V. P.1 ; Parui, Sanjay2, 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.

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 :
DOI : 10.5802/ambp.401
Classification : 42B10, 42B35, 42B37
Mots clés : Dunkl transform, Hardy–Littlewood–Sobolev inequality, Weighted Hardy inequality
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. 
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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},
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     year = {2021},
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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://www.numdam.org/articles/10.5802/ambp.401/

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