On some properties of convolution in Morrey type spaces

F. A. Guliyeva, Sabina R. Sadigova


Morrey space $M^{p,\alpha } $ and its subspace $MC^{p,\alpha } $ where the continuous functions are dense are considered. Basic properties of convolution are extended to these spaces. It is proved that the convolution in $MC^{p,\alpha } $ can be approximated by finite linear combinations of shifts. Approximate identity in $MC^{p,\alpha } $ is also considered.


Morrey space, convolution, approximate identity


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