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math.FA2024
Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions
Ankur Pandey, Nijjwal Karak
In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space where $Φ(x,t):=t^{p(x)}{(\log(…
math.FA2024
Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness
Nijjwal Karak, Debarati Mondal
We prove a lower bound estimate for capacities in Hajlasz-Besov, Hajlasz-Triebel-Lizorkin and Hajlasz-Sobolev spaces with generalized smoothness defined on metric spaces in terms o…