Geodesic
On invertibility of convolution type operators in Morrey spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 3-10

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We consider integral convolution operators in the Morrey spaces. For these operators we obtain the necessary and sufficient conditions of their invertibility. Moreover, we study the Banach algebra generated by all convolution operators with summable kernels and identity operator. For this algebra we construct the symbolic calculus, in terms of which we obtain the invertibility criterion of convolution operators.
Keywords: Morrey space, convolution operator, invertibility, Banach algebra.
Mots-clés : symbol 
@article{IVM_2019_6_a0,
     author = {O. G. Avsyankin},
     title = {On invertibility of convolution type operators in {Morrey} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a0/}
}
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O. G. Avsyankin. On invertibility of convolution type operators in Morrey spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2019_6_a0/