Function spaces of Lorentz-Sobolev type: Atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications
نویسندگان
چکیده
We establish atomic decompositions and characterizations in terms of wavelets for Besov-Lorentz spaces BqsLp,r(Rn) Triebel-Lizorkin-Lorentz FqsLp,r(Rn) the whole range parameters. As application we obtain new interpolation formulae between Lorentz-Sobolev type. also remove restrictions on parameters a result Peetre optimal embeddings Besov spaces. Moreover, derive results diffeomorphisms, extension operators multipliers BqsLp,∞(Rn). Finally, describe as an approximation space, which allows us to show sufficient conditions be multiplication algebra.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109452