On the space
and its dual
Abstract
We prove that the pre-dual
of the space
of convolutors of
is a sequentially retractive (LF)-space.
![\cO_{C,\omega}(\R^N)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/62d3d59edf00afb40181bb2a067f573b.png)
![\cO'_{C,\omega}(\R^N)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/797dfaddd91f434770e72e425d722917.png)
![\cS_\omega(\R^N)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/78a074c4dbb5421726fb4e796fdd1c50.png)
DOI Code:
10.1285/i15900932v43n1p1
Keywords:
Convolutors; weight functions; ultradifferentiable rapidly decreasing function spaces of Beurling type; sequentially retractive (LF)-space
Full Text: PDF