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AN IMPROVEMENT OF THE HÖRMANDER-MIKHLIN MULTIPLIER CONDITIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 35, Issue 3,  2013, pp.435-443
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2013.35.3.435
 Title & Authors
AN IMPROVEMENT OF THE HÖRMANDER-MIKHLIN MULTIPLIER CONDITIONS
Heo, Yaryong;
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 Abstract
We give an Fourier multiplier condition which implies the Hrmander-Mikhlin multiplier theorem.
 Keywords
Fourier multiplier;
 Language
English
 Cited by
 References
1.
Sun-Yung A. Chang and Robert Fefferman, A continuous version of duality of $H^1$ with BMO on the bidisc, Ann. of Math. (2) 112(1) (1980), 179-201. crossref(new window)

2.
Anthony Carbery, George Gasper, andWalter Trebels, Radial Fourier multipliers of $L^p(R^2)$, Proc. Nat. Acad. Sci. U.S.A. 81 (1984), no. 10, Phys. Sci., 3254-3255. crossref(new window)

3.
Henry Dappa, A Marcinkiewicz criterion for $L^p$-multipliers, Pacific J. Math. 111(1) (1984), 9-21. crossref(new window)

4.
Gustavo Garrigos and Andreas Seeger, Characterizations of Hankel multipliers, Math. Ann. 342(1) (2008), 31-68. crossref(new window)

5.
Gustavo Garrigos and Andreas Seeger, A note on maximal operators associated with Hankel multipliers, Rev. Un. Mat. Argentina 50(2) (2009), 137-148.

6.
Lars Hormander, Estimates for translation invariant operators in $L^p$ spaces, Acta Math. 104 (1960), 93-140. crossref(new window)

7.
Yaryong Heo, Fedor Nazarov, and Andreas Seeger, Radial Fourier multipliers in high dimensions, Acta Math. 206(1) (2011), 55-92. crossref(new window)

8.
Jaak Peetre, On spaces of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130. crossref(new window)

9.
Andreas Seeger, Remarks on singular convolution operators, Studia Math. 97(2) (1990), 91-114.

10.
Hans Triebel, Theory of function spaces, Monographs in Mathematics, vol. 78, Birkhauser Verlag, Basel, 1983.