# Search results for: Yuri I. Karlovich

Integral Equations and Operator Theory > 2019 > 91 > 5 > 1-30

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 151-192

Mediterranean Journal of Mathematics > 2017 > 14 > 4 > 1-20

*w*is a Muckenhoupt weight. We study the Banach subalgebra $$\mathfrak {A}_{p,w}$$ A p , w of $${\mathcal B}_{p,w}$$ B p , w generated...

Journal of Mathematical Analysis and Applications > 2017 > 450 > 1 > 606-630

Journal of Mathematical Analysis and Applications > 2016 > 443 > 1 > 453-477

Mediterranean Journal of Mathematics > 2016 > 13 > 6 > 4413-4435

Operator Theory: Advances and Applications > Operator Theoretical Methods and Applications to Mathematical Physics > Invited Papers from the Areas of Interest of Erhard Meister > 151-174

_{[SO, PC]}generated by the convolution type operators

*W*

_{ a }b =

*a*F

^{−1}bF with data

*a*E ∈

*[SO*,

*PC]*

^{ n× }

*n*and

*b*∈

*[SO*

_{ p },

*PC]*

_{ p }

^{ n× }

*n*which act on the Lebesgue space

*L*...

Boletín de la Sociedad Matemática Mexicana > 2016 > 22 > 2 > 473-485

Complex Analysis and Operator Theory > 2016 > 10 > 6 > 1101-1131

Integral Equations and Operator Theory > 2013 > 75 > 1 > 49-86

*w*is a Muckenhoupt weight. We study the Banach subalgebra $${\mathfrak{U}_{p,w}}$$ of $${\mathcal{B}_{p,w}}$$ generated by all multiplication operators

*aI*( $${a\in PSO^\diamond}$$ ) and all convolution...

Integral Equations and Operator Theory > 2012 > 74 > 3 > 377-415

*w*is a Muckenhoupt weight. We study the Banach subalgebra $${\mathfrak{A}_{p,w}}$$ of $${\mathcal{B}_{p,w}}$$ generated by all multiplication operators

*aI*( $${a \in PSO^{\diamond}}$$ ) and...

Integral Equations and Operator Theory > 2011 > 70 > 4 > 451-483

*α*is an orientation preserving diffeomorphism (shift) of $${{\mathbb{R}}_+=(0,\infty)}$$ onto itself with the only fixed points 0 and ∞. We establish sufficient conditions for the Fredholmness of the singular integral operator with shift $$(aI-bW_\alpha)P_++(cI-dW_\alpha)P_-$$ acting on $${L^p({\mathbb{R}}_+)}$$ with 1 <

*p*< ∞, where

*P*

_{±}= (

*I*±

*S*)/2,

*S*is the Cauchy singular...

Integral Equations and Operator Theory > 2011 > 71 > 1 > 29-53

*α*is an orientation-preserving diffeomorphism (shift) of $${\mathbb {R}_+=(0,\infty)}$$ onto itself with the only fixed points 0 and ∞. In Karlovich et al. (Integr Equ Oper Theory 2011, doi: 10.1007/s00020-010-1861-0 ) we found sufficient conditions for the Fredholmness of the singular integral operator with shift $$(aI-bW_\alpha)P_++(cI-dW_\alpha)P_-$$ acting on $${L^p(\mathbb...

Complex Analysis and Operator Theory > 2008 > 2 > 2 > 201-214

Complex Analysis and Operator Theory > 2008 > 2 > 2 > 241-272

*C**-subalgebra $${\mathfrak{B}}$$ of $${\mathcal{B}}(L^2({\mathbb{T}}))$$ generated by all multiplication operators by slowly oscillating and piecewise continuous functions, by the Cauchy singular integral operator and by the range of a unitary representation of an amenable group of diffeomorphisms $$g : {\mathbb{T}} \rightarrow {\mathbb{T}}$$ with any nonempty set of common fixed...