On embedding theorems for weighted spaces of holomorphic functions in tubular domains

Romi F. Shamoyan; Olivera R. Mihic

Publicado

2018-01-01

On embedding theorems for weighted spaces of holomorphic functions in tubular domains

Sobre teoremas de inmersiones para espacios ponderados de funciones holomorfas en dominios tubulares

Palabras clave:

analytic functions, tubular domains over symmetric cones, Bergman type spaces (en)
funciones analíticas, dominios tubulares sobre conos simétricos, espacios de tipos de Bergman (es)

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Autores/as

Romi F. Shamoyan Bryansk University
Olivera R. Mihic Fakultet organizacionih nauka

Resumen (en)
Resumen (es)

We introduce new mixed norm analytic spaces in products of tubular domains over symmetric cones and provide new sharp embedding theorems for them extending previously known assertions in tubular domain over symmetric cone and polydisk simultaniously. Our results extend some recent theorems of Sehba, Nana and Shamoyan in tube domain and polydisk simul-taneously.

Introducimos nuevos espacios analíticos con norma mixta en productos de dominios tubulares sobre conos simétricos y suministra nuevos y precisos teoremas englobantes para ellos extendiendo aserciones anteriormente conocidas en dominios tubulares sobre conos simétricos y poli-discos simultáneamente. Nuestros resultados extienden algunos teoremas recientes de Sehba, Nana y Shamoyan en dominios tubulares y poli-discos simultaneamente.

Referencias

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O. V. Besov, V. P. Il'in, and S. M. Nicol'skij, Integral'nye predstavleniya

funktsij i teoremy vlozheniya, Moskva, Nauka, Fizmatlit, 2nd ed., rev. and compl. Edition, 1996.

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Oxford, 1994.

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on convex domains in Cn, Journal Operator Theory 33 (1995), no. 2.

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cones, Proc. Edinburg. Math. Society 52 (2009), no. 2, 529-544.

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Theory 83 (2015), 151-178.

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(1979), no. 5, 709-725.

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F. A. Shamoyan and O. V. Yaroslavtseva, Continuous projections, duality, and the diagonal mapping in weighted spaces of holomorphic functions with mixed norm, Journal of Mathematical Sciences 101 (2000), no. 3, 3211-3215.

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anisotropic spaces of holomorphic functions in strongly pseudoconvex domains, Romai Journal 13 (2017), no. 1, 71-92.

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Cómo citar

APA

Shamoyan, R. F. & Mihic, O. R. (2018). On embedding theorems for weighted spaces of holomorphic functions in tubular domains. Boletín de Matemáticas, 25(1), 1–11. https://revistas.unal.edu.co/index.php/bolma/article/view/79001

ACM

[1]

Shamoyan, R.F. y Mihic, O.R. 2018. On embedding theorems for weighted spaces of holomorphic functions in tubular domains. Boletín de Matemáticas. 25, 1 (ene. 2018), 1–11.

ACS

(1)

Shamoyan, R. F.; Mihic, O. R. On embedding theorems for weighted spaces of holomorphic functions in tubular domains. Bol. Matemáticas 2018, 25, 1-11.

ABNT

SHAMOYAN, R. F.; MIHIC, O. R. On embedding theorems for weighted spaces of holomorphic functions in tubular domains. Boletín de Matemáticas, [S. l.], v. 25, n. 1, p. 1–11, 2018. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/79001. Acesso em: 28 dic. 2025.

Chicago

Shamoyan, Romi F., y Olivera R. Mihic. 2018. «On embedding theorems for weighted spaces of holomorphic functions in tubular domains». Boletín De Matemáticas 25 (1):1-11. https://revistas.unal.edu.co/index.php/bolma/article/view/79001.

Harvard

Shamoyan, R. F. y Mihic, O. R. (2018) «On embedding theorems for weighted spaces of holomorphic functions in tubular domains», Boletín de Matemáticas, 25(1), pp. 1–11. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/79001 (Accedido: 28 diciembre 2025).

IEEE

[1]

R. F. Shamoyan y O. R. Mihic, «On embedding theorems for weighted spaces of holomorphic functions in tubular domains», Bol. Matemáticas, vol. 25, n.º 1, pp. 1–11, ene. 2018.

MLA

Shamoyan, R. F., y O. R. Mihic. «On embedding theorems for weighted spaces of holomorphic functions in tubular domains». Boletín de Matemáticas, vol. 25, n.º 1, enero de 2018, pp. 1-11, https://revistas.unal.edu.co/index.php/bolma/article/view/79001.

Turabian

Shamoyan, Romi F., y Olivera R. Mihic. «On embedding theorems for weighted spaces of holomorphic functions in tubular domains». Boletín de Matemáticas 25, no. 1 (enero 1, 2018): 1–11. Accedido diciembre 28, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/79001.

Vancouver

1.

Shamoyan RF, Mihic OR. On embedding theorems for weighted spaces of holomorphic functions in tubular domains. Bol. Matemáticas [Internet]. 1 de enero de 2018 [citado 28 de diciembre de 2025];25(1):1-11. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/79001