Lambert multipliers between L p spaces

M. R. Jabbarzadeh; S. Khalil Sarbaz

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 31-43
  • ISSN: 0011-4642

Abstract

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In this paper Lambert multipliers acting between L p spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.

How to cite

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Jabbarzadeh, M. R., and Sarbaz, S. Khalil. "Lambert multipliers between $L^p$ spaces." Czechoslovak Mathematical Journal 60.1 (2010): 31-43. <http://eudml.org/doc/37986>.

@article{Jabbarzadeh2010,
abstract = {In this paper Lambert multipliers acting between $L^p$ spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.},
author = {Jabbarzadeh, M. R., Sarbaz, S. Khalil},
journal = {Czechoslovak Mathematical Journal},
keywords = {conditional expectation; multipliers; multiplication operators; Fredholm operator; conditional expectation; multiplier; multiplication operator; Fredholm operator},
language = {eng},
number = {1},
pages = {31-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lambert multipliers between $L^p$ spaces},
url = {http://eudml.org/doc/37986},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Jabbarzadeh, M. R.
AU - Sarbaz, S. Khalil
TI - Lambert multipliers between $L^p$ spaces
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 31
EP - 43
AB - In this paper Lambert multipliers acting between $L^p$ spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.
LA - eng
KW - conditional expectation; multipliers; multiplication operators; Fredholm operator; conditional expectation; multiplier; multiplication operator; Fredholm operator
UR - http://eudml.org/doc/37986
ER -

References

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  9. Lambert, A., 10.1112/blms/18.4.395, Bull. London Math. Soc. 18 (1986), 395-400. (1986) Zbl0624.47014MR0838810DOI10.1112/blms/18.4.395
  10. Rao, M. M., Conditional Measures and Applications, Marcel Dekker New York (1993). (1993) Zbl0815.60001MR1234936
  11. Takagi, H., 10.1007/BF01358956, Integral Equations Oper. Theory 16 (1993), 267-276. (1993) Zbl0783.47048MR1205002DOI10.1007/BF01358956
  12. Takagi, H., Yokouchi, K., 10.1090/conm/232/03408, Contemp. Math. 232 (1999), 321-338. (1999) MR1678344DOI10.1090/conm/232/03408
  13. Zaanen, A. C., Integration, 2nd ed, North-Holland Amsterdam (1967). (1967) MR0222234

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