标题：Spaces of <mml:math alttext="${D}_{L^{p}}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math> type and a convolution product associated with the spherical mean operator
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.357
出版社：Hindawi Publishing Corporation
摘要：We define and study the spaces ℳp(ℝ×ℝn), 1≤p≤∞, that are of DLp type. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual space ℳ′p(ℝ×ℝn) and describe its bounded subsets. Next, we define a convolution product in ℳ′p(ℝ×ℝn)×Mr(ℝ×ℝn), 1≤r≤p<∞, and prove some new results.
