On the subspace of L p invariant under multiplication of transform by bounded continuous functions

Alessandro Figà-Talamanca

Rendiconti del Seminario Matematico della Università di Padova (1965)

  • Volume: 35, Issue: 1, page 176-189
  • ISSN: 0041-8994

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Figà-Talamanca, Alessandro. "On the subspace of $L^p$ invariant under multiplication of transform by bounded continuous functions." Rendiconti del Seminario Matematico della Università di Padova 35.1 (1965): 176-189. <http://eudml.org/doc/107142>.

@article{Figà1965,
author = {Figà-Talamanca, Alessandro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {functional analysis},
language = {eng},
number = {1},
pages = {176-189},
publisher = {Seminario Matematico of the University of Padua},
title = {On the subspace of $L^p$ invariant under multiplication of transform by bounded continuous functions},
url = {http://eudml.org/doc/107142},
volume = {35},
year = {1965},
}

TY - JOUR
AU - Figà-Talamanca, Alessandro
TI - On the subspace of $L^p$ invariant under multiplication of transform by bounded continuous functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1965
PB - Seminario Matematico of the University of Padua
VL - 35
IS - 1
SP - 176
EP - 189
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/107142
ER -

References

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  1. [1] Dunford N. and Schwarz J.: Linear operators, Part I, Interscience, New York, 1958. Zbl0084.10402
  2. [2] Figà-Talamanca A.: Multipliers of p-integrable functions, Bull. Amer. Math. Soc., 70 (1964), 666-669. Zbl0142.10402MR165036
  3. [3] Helgason S.: Multipliers of Banach algebras, Ann. of Math., 64 (1956), 240-254. Zbl0072.32303MR82075
  4. [4] Helgason S.: Topologies of group algebras and a theorem of Littlewood, Trans. Amer. Math. Soc.,86 (1957), 269-283, Zbl0080.10204MR95428
  5. [5] Hörmader L.: Estimates for translation invariant operators in Lp spaces, Acta Math.104 (1960), 93-140. Zbl0093.11402MR121655
  6. [6] Rudin W.: Fourier Analysis on groups, Interscience, New York, 1962. Zbl0107.09603MR152834
  7. [7] Titchmarsh, E.C.: Introduction to the theory of Fourier integrals, Oxford University Press, Oxford1948. Zbl0017.40404JFM63.0367.05
  8. [8] Zygmund A.: Trigonometric series, vols. I and II, Cambridge University Press, Cambridge, 1959. Zbl0367.42001MR236587

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