Geodesic
Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces
Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 924-935

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DOI

Our aim in this paper is to establish Trudinger’s exponential integrability for Riesz potentials in weighted Morrey spaces on the half space. As an application, we obtain Trudinger’s inequality for Riesz potentials in the framework of double phase functionals.
DOI : 10.4153/S0008439521001041
Mots-clés : Riesz potentials, Sobolev’s inequality, Trudinger’s inequality, weighted Morrey space, double phase functional 
Mizuta, Yoshihiro; Shimomura, Tetsu. Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces. Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 924-935. doi: 10.4153/S0008439521001041
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     title = {Trudinger{\textquoteright}s inequalities for {Riesz} potentials in {Morrey} spaces of double phase functionals on half spaces},
     journal = {Canadian mathematical bulletin},
     pages = {924--935},
     year = {2022},
     volume = {65},
     number = {4},
     doi = {10.4153/S0008439521001041},
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