Zobrazeno 1 - 10
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pro vyhledávání: '"Karlovich, Alexei Yu."'
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
Autor:
Karlovich, Alexei Yu.
We show that the Hardy-Littlewood maximal operator is bounded on a reflexive variable Lebesgue space $L^{p(\cdot)}$ over a space of homogeneous type $(X,d,\mu)$ if and only if it is bounded on its dual space $L^{p'(\cdot)}$, where $1/p(x)+1/p'(x)=1$
Externí odkaz:
http://arxiv.org/abs/1808.06913
Autor:
Karlovich, Alexei Yu.
Let $\mathcal{E}(X,d,\mu)$ be a Banach function space over a space of homogeneous type $(X,d,\mu)$. We show that if the Hardy-Littlewood maximal operator $M$ is bounded on the space $\mathcal{E}(X,d,\mu)$, then its boundedness on the associate space
Externí odkaz:
http://arxiv.org/abs/1808.05645
Autor:
Karlovich, Alexei Yu.
Publikováno v:
Commentationes Mathematicae. 57 (2017), no. 2, 131-141
Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on
Externí odkaz:
http://arxiv.org/abs/1710.10078
Autor:
Karlovich, Alexei Yu.
Let $\Gamma$ be a rectifiable Jordan curve, let $X$ and $Y$ be two reflexive Banach function spaces over $\Gamma$ such that the Cauchy singular integral operator $S$ is bounded on each of them, and let $M(X,Y)$ denote the space of pointwise multiplie
Externí odkaz:
http://arxiv.org/abs/1708.01475
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