On the Algebra of Singular Integral Operators with Almost Periodic Coefficients

Karlovych, Oleksiy; Valente, Márcio

http://hdl.handle.net/10362/183641

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
OKMV3-2024-05-27.pdf		259.45 KB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Karlovych, Oleksiy

Valente, Márcio

Resumo(s)

Yuri Karlovich observed in the early 1990s that every Fredholm operator in the Banach algebra generated by the Cauchy singular integral operator S and the operators of multiplication by matrix-valued uniform almost periodic functions on the space LNp(ℝ) with 1<p<∞ is invertible. We extend this result to the setting of reflexive rearrangement-invariant Banach function spaces with nontrivial Boyd indices.