Fourier multipliers for Hölder continuous functions
and maximal regularity
Studia Mathematica, Tome 160 (2004) no. 1, pp. 23-51
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Two operator-valued Fourier multiplier theorems for Hölder spaces are proved, one periodic, the other on the line. In contrast to the $L^p$-situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Hölder can be characterized by simple resolvent estimates of the underlying operator.
Keywords:
operator valued fourier multiplier theorems lder spaces proved periodic other line contrast p situation arbitrary banach spaces consequence maximal regularity sense lder characterized simple resolvent estimates underlying operator
Affiliations des auteurs :
Wolfgang Arendt 1 ; Charles Batty 2 ; Shangquan Bu 3
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title = {Fourier multipliers for {H\"older} continuous functions
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journal = {Studia Mathematica},
pages = {23--51},
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volume = {160},
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year = {2004},
doi = {10.4064/sm160-1-2},
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%0 Journal Article %A Wolfgang Arendt %A Charles Batty %A Shangquan Bu %T Fourier multipliers for Hölder continuous functions and maximal regularity %J Studia Mathematica %D 2004 %P 23-51 %V 160 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm160-1-2/ %R 10.4064/sm160-1-2 %G en %F 10_4064_sm160_1_2
Wolfgang Arendt; Charles Batty; Shangquan Bu. Fourier multipliers for Hölder continuous functions and maximal regularity. Studia Mathematica, Tome 160 (2004) no. 1, pp. 23-51. doi: 10.4064/sm160-1-2
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