Search Results - "Karlovich, Yuri I."

C-ALGEBRAS OF POLY-BERGMAN TYPE OPERATORS WITH PIECEWISE SLOWLY OSCILLATING COEFFICIENTS by Espinoza-Loyola, Enrique, Karlovich, Yuri I.

“…Given n , m ∈ N and a simply connected uniform domain U ⊂ C with a sufficiently smooth boundary ∂ U , we study the C * -algebra B U , n , m ( L ) : = alg { a I…”
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One-sided invertibility of discrete operators with bounded coefficients by Flores-Zapotitla, Luis Eduardo, Karlovich, Yuri I.

“…For p ∈ ( 1 , ∞ ) , we establish several criteria of one-sided invertibility on spaces l p = l p ( Z ) for discrete band-dominated operators being either…”
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Correction to: One-sided invertibility of discrete operators with bounded coefficients by Flores-Zapotitla, Luis Eduardo, Karlovich, Yuri I.

“…A Correction to this paper has been published: https://doi.org/10.1007/s00010-020-00773-8…”
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Algebras of Convolution-Type Operators with Piecewise Slowly Oscillating Data on Weighted Lebesgue Spaces by Karlovich, Yuri I.

“…Let B p , w be the Banach algebra of all bounded linear operators acting on the weighted Lebesgue space L p ( R , w ) , where p ∈ ( 1 , ∞ ) and w is a…”
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The Haseman Boundary Value Problem with Quasicontinuous Coefficients and Shifts by Karlovich, Yuri I., Rosales-Méndez, Jennyffer

“…Applying recent results on Mellin pseudodifferential operators with quasicontinuous symbols and decreasing the smoothness of data, we construct the Fredholm…”
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Fredholmness of Singular Integral Operators with Complex Conjugation on Star-Like Curves with Cusps by Karlovich, Yuri I., Monsiváis-González, Francisco J.

“…The paper is devoted to studying the Fredholmness of operators from the Banach algebra B of singular integral operators with complex conjugation and slowly…”
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C∗-algebras of Bergman Type Operators with Piecewise Continuous Coefficients Over Domains with Dini-Smooth Corners by Espinoza-Loyola, Enrique, Karlovich, Yuri I.

“…For any simply connected domain U ⊂ C with a piecewise Dini-smooth boundary ∂ U which admits Dini-smooth corners of openings lying in ( 0 , 2 π ] , the C ∗…”
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C-algebras of Bergman Type Operators with Piecewise Slowly Oscillating Coefficients over Domains with Dini-Smooth Corners by Espinoza-Loyola, Enrique, Karlovich, Yuri I.

“…Given a simply connected domain U ⊂ C with a piecewise Dini-smooth boundary ∂ U which admits a finite set of Dini-smooth corners of openings lying in ( 0 , 2 π…”
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On C-algebras of singular integral operators with PQC coefficients and shifts with fixed points by Bastos, M. Amélia, Fernandes, Cláudio A., Karlovich, Yuri I.

“…A Fredholm representation on a Hilbert space, whose kernel coincides with the ideal of compact operators, is constructed for the -algebra generated by all…”
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One-Sided Invertibility Criteria for Binomial Functional Operators with Shift and Slowly Oscillating Data by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

“…Let α be an orientation-preserving homeomorphism of [ 0 , ∞ ] onto itself with only two fixed points at 0 and ∞ , whose restriction to R + = ( 0 , ∞ ) is a…”
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The generalized Cauchy index of some semi-almost periodic functions by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

“…We compute the generalized Cauchy index of some semi-almost periodic functions, which are important in the study of the Fredholm index of singular integral…”
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Index calculation for Wiener-Hopf operators with slowly oscillating coefficients by Karlovich, Yuri I.

“…Given p∈(1,∞) and the power weight ω(x)=|x+i|β on R+=(0,∞) with β∈(−1/p,1−1/p), let LNp(R+,ω) be the weighted Lebesgue space of functions f:R+→CN. The paper…”
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The index of weighted singular integral operators with shifts and slowly oscillating data by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

“…Let α and β be orientation-preserving diffeomorphism (shifts) of R+=(0,∞) onto itself with the only fixed points 0 and ∞. We establish a Fredholm criterion and…”
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C^$$ C ∗ -algebras of Bergman Type Operators with Piecewise Continuous Coefficients Over Domains with Dini-Smooth Corners by Espinoza-Loyola, Enrique, Karlovich, Yuri I.

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Criteria for n(d)‐normality of weighted singular integral operators with shifts and slowly oscillating data by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

“…Let α,β be orientation‐preserving homeomorphisms of [0,∞] onto itself, which have only two fixed points at 0 and ∞, and whose restrictions to R+=(0,∞) are…”
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Criteria for n(d)-normality of weighted singular integral operators with shifts and slowly oscillating data: CRITERIA FOR n(d)-NORMALITY OF SIO'S WITH SHIFTS by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

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Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights by Albrecht Böttcher, Yuri I. Karlovich

“…We describe the spectra and essential spectra of Toeplitz operators with piecewise continuous symbols on the Hardy space H^p(\Gamma,\omega) in case 1<p<\iy,…”
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Index formula for convolution type operators with data functions in alg(SO,PC) by Bastos, M. Amélia, Carvalho, Catarina C., Karlovich, Yuri I.

“…We establish an index formula for the Fredholm convolution type operators A=∑k=1makW0(bk) acting on the space L2(R), where ak, bk belong to the C⁎-algebra…”
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On a Weighted Singular Integral Operator with Shifts and Slowly Oscillating Data by Karlovich, Alexei Yu, Karlovich, Yuri I., Lebre, Amarino B.

“…Let α , β be orientation-preserving diffeomorphism (shifts) of R + = ( 0 , ∞ ) onto itself with the only fixed points 0 and ∞ and U α , U β be the isometric…”
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NECESSARY FREDHOLM CONDITIONS FOR WEIGHTED SINGULAR INTEGRAL OPERATORS WITH SHIFTS AND SLOWLY OSCILLATING DATA by KARLOVICH, ALEXEI YU, KARLOVICH, YURI I., LEBRE, AMARINO B.

“…We extend the main result of [12] to the case of more general weighted singular integral operators with two shifts of the form ( a I − b U α ) P γ + + ( c I −…”
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