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| Multipliers on Sobolev spaces have been studied heavily in 1980s and stay always as an active topic. Before, one used the capacity of compact set on Sobolev spaces to characterize multiplier spaces and to study the applications related to multiplier spaces, one did not know even they have unconditional basis or not. Here wavelet methods are introduced, the structure of multiplier spaces is analyzed through the following conceptions: some special decomposition of product of functions, Morrey spaces, known wavelet characterization of certain function spaces, dual and the relations between function spaces; and the conclusion of the elements of multiplier spaces are determined by the absolute value of their wavelet coefficient is drawed. |
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| Keywords:Real analysis;multiplier spaces;Daubechies wavelet;decomposition of function product;Morrey space;Sobolev space |
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