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Special issue dedicated to 130th anniversary of Vladimir I. Smirnov

Müntz spaces and special Bloch type inequalities

Pages 1082-1099 | Received 27 Jul 2017, Accepted 30 Nov 2017, Published online: 14 Dec 2017

References

  • Müntz C. Über den Approximationssatz von Weierstrass. Berlin: H. A. Schwarz’s Festschrift; 1914. p. 303–312.
  • Szász O. Über die Approximation stetiger Funktionen durch lineare Aggregate von Potenzen. Math Ann. 1916;77:482–496.
  • Almira JM. Müntz type theorems I. Surveys in approximation theory. 2007;3:152–194.
  • Gurariy V, Lusky W. Geometry of Müntz spaces and related questions. Lecture notes in mathematics. Berlin: Springer; 2005.
  • AlAlam I, Habib G, Lefèvre P, et al. Essential norms of Volterra and Cesàro operators on Müntz spaces. Colloq Math. Forthcoming. DOI:10.4064/cm7100-1-2017
  • Chalendar I, Fricain E, Timotin D. Embeddings theorems for Müntz spaces. Ann Inst Fourier. 2011;61:2291–2311.
  • Fricain E, Lefèvre P. Müntz spaces as model spaces. Complex Anal Oper Theory. Forthcoming.
  • Gaillard L, Lefèvre P. Lacunary Müntz spaces: isomorphisms and Carleson embeddings. Ann Inst Fourier. Forthcoming.
  • Ludkowski S, Lusky W. On the geometry of Müntz spaces. J Funct Spaces. 2015. Article ID: 787291.
  • Noor SW, Timotin D. Embeddings of M\"{u}tz spaces: the Hilbertian case. Proc Am Math Soc. 2013;141(6):2009–2023.
  • Rudin W. Real and complex analysis. 3rd ed. New York (NY): McGraw-Hill Book Co.; 1987.
  • Borwein P, Erdélyi T. Polynomials and polynomial inequalities. vol. 161. Graduate texts in mathematics. New York (NY): Springer-Verlag; 1995.
  • Gurariy V, Macaev VI. Lacunary power sequences in the spaces C and Lp. Am Math Soc. 1966;72:9–21. Translated Serie 2.
  • Gaillard L, Lefèvre P. Asymptotic isometry for lacunary Müntz spaces and applications. Forthcoming.
  • Ludkowski S. Approximation and existence of Schauder bases in Müntz spaces of L1 functions. J Math Anal Appl. 2016;441(2):635–647.
  • Ludkowski S. Approximation in Müntz spaces Ma,p of Lp functions for 1 < p < ∞ and bases. 2017; arXiv:1605.09665v2.
  • Ludkowski S. Approximation and Schauder bases in Müntz spaces Ma,C of continuous functions. 2017; arXiv:1605.09661v2.

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