Herz space with variable exponent on spaces of homogeneous type

doi:10.7523/j.issn.2095-6134.2017.05.002

›› 2017, Vol. 34 ›› Issue (5): 538-542.DOI: 10.7523/j.issn.2095-6134.2017.05.002

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Herz space with variable exponent on spaces of homogeneous type

WANG Hongbin^1,2

1 School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
2 School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China

Received:2016-06-12 Revised:2016-11-07 Online:2017-09-15
Supported by:
Supported by China Postdoctoral Science Foundation (2016M601105) and Shandong Provincial Natural Science Foundation(ZR2017MA041)

Abstract

Abstract: In this work, a certain Herz space with variable exponent on spaces of homogeneous type is defined, and the block decomposition for this space is established. Using this decomposition, some boundedness for a class of sublinear operators on Herz space with variable exponent on spaces of homogeneous type is obtained.

Key words: Herz space, variable exponent, spaces of homogeneous type, block decomposition, boundedness

CLC Number:

O174.2

WANG Hongbin. Herz space with variable exponent on spaces of homogeneous type[J]. , 2017, 34(5): 538-542.

[1]	WANG Hongbin. The continuity for commutators of Marcinkiewicz integrals on Herz-type space with variable exponent [J]. , 2020, 37(2): 155-161.
[2]	DU Wenkui, YAN Dunyan. Convolution integral restricted on closed hypersurfaces [J]. , 2019, 36(5): 577-580.
[3]	WANG Yan-Qing JIANG Chang-Sheng. Robust adaptive control design for a class of nonlinear uncertain neutral multiple time-delay systems [J]. , 2007, 24(3): 384-390.

Herz space with variable exponent on spaces of homogeneous type

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