Point-wise Multipliers of Herz-type Besov Spaces and Their Applications

Jing-shi Xu

Front. Math. China ›› 2006, Vol. 1 ›› Issue (1) : 110 -119.

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (1) : 110 -119. DOI: 10.1007/s11464-005-0025-z
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Point-wise Multipliers of Herz-type Besov Spaces and Their Applications

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Abstract

In this paper, the point-wise multipliers for the Herz-type Besov spaces are obtained, and the pseudo-differential operators are proved to be bounded in the Herz-type Besov spaces by using the point-wise multipliers.

Keywords

Herz-type space / Besov space / point-wise multiplier / pseudo-differential operator / maximal operator / 42B15 / 42B25 / 42B35

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Jing-shi Xu. Point-wise Multipliers of Herz-type Besov Spaces and Their Applications. Front. Math. China, 2006, 1(1): 110-119 DOI:10.1007/s11464-005-0025-z

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