@article{NEAGU_2020, title={ON THE REGULARIZATION OF SOME SINGULAR INTEGRAL OPERATORS. NOETHERIAN CRITERIA}, volume={8}, url={https://revista.ust.md/index.php/acta_exacte/article/view/513}, DOI={10.36120/2587-3644.v8i2.58-69}, abstractNote={<p>The work is centered on the study of algebra A generated by singular integral operators with shifts with continuous coefficients. Necessary and sufficient conditions are established for operators A to be Noetherian and to admit equivalent regularization in the space (,) Lp . There are constructed regularizators for Noetherian operators. The study is done in the space (, ) Lp with weight ρ(t) = t − tk n k=1 βk and is based on the theory of Ghelfand [1] concerning Banach algebras. The main results of this work were presented at the 9-th Congress of Romanian Mathematicians, which took place in Galați, 2019.</p> <p>2010 Mathematics Subject Classification: 34G10.</p>}, number={2}, journal={Acta et Commentationes Exact and Natural Sciences}, author={NEAGU, Vasile}, year={2020}, month={Jan.}, pages={58-69} }