SPACES OF DLp-TYPE AND A CONVOLUTION PRODUCT ASSOCIATED WITH THE RIEMANN-LIOUVILLE OPERATOR (DEDICATED IN OCCASION OF THE 65-YEARS OF PROFESSOR
نویسنده
چکیده
We define and study the spaces Mp(R), 1 ⩽ p ⩽ +∞, that are of DLp -type. Using the harmonic analysis related to the Fourier transform connected with the Riemann-Liouville operator, we give a new characterization of the dual space M ′ p(R) and we describe its bounded subsets. Next, we define a convolution product in M ′ p(R)×Mr(R), 1 ⩽ r ⩽ p < +∞, whereMr(R) is the closure of the space S∗(R) in Mr(R) and we prove some new results.
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تاریخ انتشار 2009