Geodesic
On some new decomposition theorems in multifunctional Herz and Bergman analytic function spaces in bounded pseudoconvex domains
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 42-58

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Under certain integral condition which vanishes in onefunctional case we provide new sharp decomposition theorems for multifunctional Herz and Bergman spaces in the unit ball and pseudoconvex domains expanding known results from the unit ball. Our theorems extend also in various directions some known theorems on atomic decompositions of onefunctional Bergman spaces in the unit ball and in bounded pseudoconvex domains.
Keywords: unit ball, analytic functions, Bergman spaces
Mots-clés : pseudoconvex domains, Herz spaces. 
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     author = {R. F. Shamoyan and E. B. Tomashevskaya},
     title = {On some new decomposition theorems in multifunctional {Herz} and {Bergman} analytic function spaces in bounded pseudoconvex domains},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {42--58},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_30_1_a3/}
}
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R. F. Shamoyan; E. B. Tomashevskaya. On some new decomposition theorems in multifunctional Herz and Bergman analytic function spaces in bounded pseudoconvex domains. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 42-58. http://geodesic.mathdoc.fr/item/VKAM_2020_30_1_a3/