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pro vyhledávání: '"Karlovich, Yuri I."'
Autor:
Karlovich, Yuri I.
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:93-130
Let $\Phi$ be a $C^*$-subalgebra of $L^\infty(\mathbb{R})$ and $SO_{X(\mathbb{R})}^\diamond$ be the Banach algebra of slowly oscillating Fourier multipliers on a Banach function space $X(\mathbb{R})$. We show that the intersection of the Calkin image
Externí odkaz:
http://arxiv.org/abs/2008.02634
We study Fourier convolution operators $W^0(a)$ with symbols equivalent to zero at infinity on a separable Banach function space $X(\mathbb{R})$ such that the Hardy-Littlewood maximal operator is bounded on $X(\mathbb{R})$ and on its associate space
Externí odkaz:
http://arxiv.org/abs/1909.13538
Publikováno v:
Ann. Funct. Anal. 10, no. 4 (2019), 553-561
Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy-Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$. Suppose $a$ is a Fourier multiplier on the space $X(\mathbb{R})$.
Externí odkaz:
http://arxiv.org/abs/1909.13510
We show that if the Hardy-Littlewood maximal operator is bounded on a reflexive Banach function space $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$, then the space $X(\mathbb{R})$ has an unconditional wavelet basis. As a consequence of
Externí odkaz:
http://arxiv.org/abs/1908.07754
Let $\alpha,\beta$ be orientation-preserving homeomorphisms of $[0,\infty]$ onto itself, which have only two fixed points at $0$ and $\infty$, and whose restrictions to $\mathbb{R}_+=(0,\infty)$ are diffeomorphisms, and let $U_\alpha,U_\beta$ be the
Externí odkaz:
http://arxiv.org/abs/1705.10247
Let $\alpha,\beta$ be orientation-preserving diffeomorphism (shifts) of $\mathbb{R}_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$ and $U_\alpha,U_\beta$ be the isometric shift operators on $L^p(\mathbb{R}_+)$ given by $U_\alph
Externí odkaz:
http://arxiv.org/abs/1501.03744
We study Mellin pseudodifferential operators (shortly, Mellin PDO's) with symbols in the algebra $\widetilde{\mathcal{E}}(\mathbb{R}_+,V(\mathbb{R}))$ of slowly oscillating functions of limited smoothness introduced in \cite{K09}. We show that if $\m
Externí odkaz:
http://arxiv.org/abs/1407.3411
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 July 2019 475(2):1130-1161
Suppose $\alpha$ is an orientation-preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$. In \cite{KKLsufficiency} we found sufficient conditions for the Fredholmness of the singular integral
Externí odkaz:
http://arxiv.org/abs/1010.5336