We prove Adams’ type inequalities with radial increasing mass weights in the whole , in the setting of mass-weighted Sobolev spaces . Due to the presence of increasing weights, the reduction to radial functions via rearrangement arguments is not permitted. The proofs mainly rely on a proper change of variables, which allows us to establish an isomorphism between and .
Adams' type inequalities in the whole R^4 with increasing weights / C. Tarsi (ASSOCIATION FOR WOMEN IN MATHEMATICS SERIES). - In: Advances in the Mathematical Sciences / [a cura di] M. Breit-Goodwin, M. Seong Im, K. Jabbusch, K.-N. Lin. - [s.l] : Springer, 2025 Apr. - ISBN 978-3-031-93668-5. - pp. 181-200 (( Advances in the Mathematical Sciences Minneapolis 2022 [10.1007/978-3-031-93669-2_8].
Adams' type inequalities in the whole R^4 with increasing weights
C. Tarsi
Primo
2025
Abstract
We prove Adams’ type inequalities with radial increasing mass weights in the whole , in the setting of mass-weighted Sobolev spaces . Due to the presence of increasing weights, the reduction to radial functions via rearrangement arguments is not permitted. The proofs mainly rely on a proper change of variables, which allows us to establish an isomorphism between and .
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