Geodesic
A characterization of multipliers in the Hedberg--Netrusov spaces
Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 158-194

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We expose a criterion of the membership of a function in the space of pointwise multipliers between the Hedberg–Netrusov spaces. The criterion is stated in terms of a pair of discrete weighted inequalities. Connections of the criterion with the problem of rectifiability of Lipschitz surfaces are established. 
@article{MT_2011_14_1_a6,
     author = {A. I. Parfenov},
     title = {A characterization of multipliers in the {Hedberg--Netrusov} spaces},
     journal = {Matemati\v{c}eskie trudy},
     pages = {158--194},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2011_14_1_a6/}
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A. I. Parfenov. A characterization of multipliers in the Hedberg--Netrusov spaces. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 158-194. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a6/