Geodesic
On the relationship and the norm discretization for Lizorkin-Triebel spaces with generalized smoothness
Filomat, Tome 36 (2022) no. 2, p. 615

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DOI

Homogeneous and non-homogeneous Lizorkin-Triebel spaces with generalized smoothness ˙ F λ(.) pq (R n) and F λ(.) pq (R n) have been considered. In particular, under some assumptions of the function λ(t) : R + → R + , λ(1) = 1 determining the generalized smoothness properties, the discretization procedure is realized and the relationship is established between these spaces on R n and their discrete analogues.
DOI : 10.2298/FIL2202615M
Classification : 46E35, 46F10
Keywords: Lizorkin-Triebel spaces, Norm Discretization, generalized smoothness, dyadic cubes 
Vedaste Mutarutinya; Marco Mpimbo; Gabriel Nshizirungu. On the relationship and the norm discretization for Lizorkin-Triebel spaces with generalized smoothness. Filomat, Tome 36 (2022) no. 2, p. 615 . doi: 10.2298/FIL2202615M
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     title = {On the relationship and the norm discretization for {Lizorkin-Triebel} spaces with generalized smoothness},
     journal = {Filomat},
     pages = {615 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202615M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202615M/}
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