Abstract
This chapter is devoted to the study of Taylor coefficients of \(H^{p,q,\alpha }\) functions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Jevtić, M., Pavlović, M.: On the solid hull of the Hardy Space, \(0<p<1\). Michigan Math. J. 54, 439–446 (2006)
Jevtić, M., Pavlović, M.: On the solid hull of the Hardy–Lorentz space. Publ. Inst. Math. (Beograd) (N.S.) 85(99), 55–61 (2009)
Duren, P.L., Schuster, A.P.: Bergman Spaces, Math. Surveys and Monographs, vol. 100. American Mathematical Society, Providence (2004)
Nakamura, A., Ohya, F., Watanabe, H.: On some properties of functions in weighted Bergman spaces. Proc. Fac. Sci. Tokai Univ. 15, 33–44 (1979)
Lengfield, M.: A nested embedding theorem for Hardy–Lorentz spaces with applications to coefficient multiplier problems. Rocky Mt. J. Math. 38, 1215–1251 (2008)
Mateljević, M., Pavlović, M.: \(L^p\)-behaviour of power series with positive coefficients and some spaces of analytic functions. In: Proceedings of International Conference, Golden Sands (Varna), Bulgaria, pp. 600–604 (1984)
Peller, V., Khrushchev, S.: Hankel operators, best approximation and stationary Gaussian process. Uspekhi Mat. Nauk 37, 53–124. English Transl. in Russian Math. Surveys 37, 61–144 (1982)
Buckley, S.M., Koskela, P., Vukotić, D.: Fractional integration, differentiation, and weighted Bergman spaces. Math. Proc. Camb. Philos. Soc. 126, 369–385 (1999)
Buckley, S.M.: Mixed norms and analytic function spaces. Math. Proc. R. Ir. Acad. 100A(1), 1–9 (2000)
Pavlović, M.: Analytic functions with decreasing coefficients and Hardy and Bloch spaces. Proc. Edinb. Math. Soc. (2) 56(2), 623–635 (2013)
Mateljević, M., Pavlović, M.: The best approximation and composition with inner functions. Michigan Math. J. 42, 367–378 (1995)
Ahern, P., Jevtić, M.: Duality and multipliers for mixed norm spaces. Michigan Math. J. 30, 53–64 (1983)
Anderson, J.M., Shields, A.L.: Coefficient multipliers of Bloch functions. Trans. Am. Math. Soc. 224, 255–265 (1976)
Duren, P.L., Shapiro, H.S., Shields, A.L.: Singular measures and domains not of Smirnov type. Duke Math. J. 33, 247–254 (1966)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Jevtić, M., Vukotić, D., Arsenović, M. (2016). \(H^{p,q,\alpha }\) as a Sequence Space. In: Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces. RSME Springer Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-45644-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-45644-7_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-45643-0
Online ISBN: 978-3-319-45644-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)