3 papers
math.FA2026
Dyadic fractional Sobolev spaces: Embeddings and algebra property
Patricia Alonso Ruiz, Valentia Fragkiadaki
This paper studies a dyadic version of fractional Sobolev spaces in for . It provides new proofs of the corresponding fractional Sobolev embedding as well a…
math.CA2026
Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property
Valentia Fragkiadaki, Mishko Mitkovski, Cody B. Stockdale
We characterize the boundedness and compactness of dyadic paraproducts on local dyadic fractional Sobolev spaces, . We apply this result to establish the algebra property for…
math.CA2025
Fractional Sobolev embeddings and algebra property: A dyadic view
Patricia Alonso Ruiz, Valentia Fragkiadaki
This paper revisits classical fractional Sobolev embedding theorems and the algebra property of the fractional Sobolev space by means of Haar functions and dyadic…