Geodesic
Generalized Hilbert series operators
Filomat, Tome 35 (2021) no. 13, p. 4577

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DOI

In this note we study the generalized Hilbert series operator H µ , induced by a positive Bore measure µ on [0, 1), between weighted sequence spaces. We characterize the measures µ for which H µ is bounded between different sequence spaces. Finally, for certain special measures, we obtain the sharp norm estimates of the operators and establish some new generalized Hilbert series inequalities with the best constant factors
DOI : 10.2298/FIL2113577J
Classification : 26D15, 47A30
Keywords: Generalized Hilbert series operator, Carleson measure, boundedness of operator, norm of operator 
Jianjun Jin; Shuan Tang. Generalized Hilbert series operators. Filomat, Tome 35 (2021) no. 13, p. 4577 . doi: 10.2298/FIL2113577J
@article{10_2298_FIL2113577J,
     author = {Jianjun Jin and Shuan Tang},
     title = {Generalized {Hilbert} series operators},
     journal = {Filomat},
     pages = {4577 },
     year = {2021},
     volume = {35},
     number = {13},
     doi = {10.2298/FIL2113577J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2113577J/}
}
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