Bilinear multipliers on Lorentz spaces
Czechoslovak Mathematical Journal (2008)
- Volume: 58, Issue: 4, page 1045-1057
- ISSN: 0011-4642
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topVillarroya, Francisco. "Bilinear multipliers on Lorentz spaces." Czechoslovak Mathematical Journal 58.4 (2008): 1045-1057. <http://eudml.org/doc/37884>.
@article{Villarroya2008,
abstract = {We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.},
author = {Villarroya, Francisco},
journal = {Czechoslovak Mathematical Journal},
keywords = {bilinear Hilbert transform; bilinear multipliers; Lorentz spaces; bilinear Hilbert transform; bilinear multipliers; Lorentz spaces},
language = {eng},
number = {4},
pages = {1045-1057},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bilinear multipliers on Lorentz spaces},
url = {http://eudml.org/doc/37884},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Villarroya, Francisco
TI - Bilinear multipliers on Lorentz spaces
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 1045
EP - 1057
AB - We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
LA - eng
KW - bilinear Hilbert transform; bilinear multipliers; Lorentz spaces; bilinear Hilbert transform; bilinear multipliers; Lorentz spaces
UR - http://eudml.org/doc/37884
ER -
References
top- Bennet, C., Sharpley, R., Interpolation of operators, Pure and applied mathematics vol. 129, Academic Press, Inc., New York (1988). (1988) MR0928802
- Calderón, A. P., 10.1073/pnas.74.4.1324, Proc. Natl. Acad. Sci. USA 74 1324-1327 (1977). (1977) MR0466568DOI10.1073/pnas.74.4.1324
- Fefferman, C., 10.2307/1970917, Ann. Math. 98 551-571 (1973). (1973) Zbl0268.42009MR0340926DOI10.2307/1970917
- Gilbert, J., Nahmod, A., 10.4310/MRL.2000.v7.n6.a9, Math. Res. Lett. 7 (2000), 767-778. (2000) MR1809300DOI10.4310/MRL.2000.v7.n6.a9
- Gilbert, J., Nahmod, A., 10.1007/BF02511220, J. Fourier Anal. Appl. 7 (2001), 437-469. (2001) MR1845098DOI10.1007/BF02511220
- Grafakos, L., Li, X., 10.4007/annals.2004.159.889, Annals of Mathematics 159 (2004), 889-933. (2004) MR2113017DOI10.4007/annals.2004.159.889
- Lacey, M., On the bilinear Hilbert transform, Doc. Math., vol. II 647-656 (1998). (1998) Zbl0963.42007MR1648113
- Lacey, M., Thiele, C., bounds on the bilinear Hilbert transform for , Ann. Math. 146 (1997), 693-724. (1997) Zbl0946.44001MR1491450
- Lacey, M., Thiele, C., 10.2307/120971, Ann. Math. 149 (1999), 475-496. (1999) Zbl0934.42012MR1689336DOI10.2307/120971
- Lacey, M., 10.2307/121111, Ann. Math. 151 (2000), 35-57. (2000) MR1745019DOI10.2307/121111
- Larsen, R., An introduction to the theory of multipliers, vol. 175, Springer-Verlag (1971). (1971) MR0435738
- Muscalu, C., Tao, T., Thiele, C., 10.1090/S0894-0347-01-00379-4, J. Amer. Math. Soc. 15 (2002), 469-496. (2002) MR1887641DOI10.1090/S0894-0347-01-00379-4
- Muscalu, C., Tao, T., Thiele, C., 10.1007/BF02786579, J. Anal. Math. 88 255-309 (2002). (2002) Zbl1041.42013MR1979774DOI10.1007/BF02786579
- Thiele, C., On the bilinear Hilbert transform, Universität Kiel, Habilitation (1998). (1998)
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