A NOTE ON A NEW SHARP RESULT IN SPACES OF PLURIHARMONIC FUNCTIONS AND RELATED PROBLEMS
https://doi.org/10.25587/SVFU.2022.18.18.007
Аннотация
Abstract. We provide a new sharp result for classical Bergman spaces of pluriharmonic functions related with the trace operator extending previously known assertions. Related new estimates for other pluriharmonic new function spaces in product domains will be also discussed and provided.
Ключевые слова
trace operator,
pluriharmonic functions,
analytic functions,
Bergman space,
mixed norm spaces,
polydisk,
unit disk.
Об авторе
R. Sh. Fayzoevich
Department of Mathematics,
Bryansk State Technical University
Россия
Россия
Shamoyan Romi Fayzoevich
Department of Mathematics,
Bryansk State Technical University,
7 50-letiya Oktyabrya Boulevard, Bryansk 241035, Russia
Рецензия
Для цитирования:
Fayzoevich R.Sh. A NOTE ON A NEW SHARP RESULT IN SPACES OF PLURIHARMONIC FUNCTIONS AND RELATED PROBLEMS. Математические заметки СВФУ. 2022;29(2):82-87. https://doi.org/10.25587/SVFU.2022.18.18.007
For citation:
Fayzoevich R.Sh. A NOTE ON A NEW SHARP RESULT IN SPACES OF PLURIHARMONIC FUNCTIONS AND RELATED PROBLEMS. Mathematical notes of NEFU. 2022;29(2):82-87. (In Russ.) https://doi.org/10.25587/SVFU.2022.18.18.007
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