Zobrazeno 1 - 10
of 178
pro vyhledávání: '"Wojciechowski, Michal"'
We establish that the summability of the series $\sum\varepsilon_n$ is the necessary and sufficient criterion ensuring that every $(1+\varepsilon_n)$ Markushevich basis in a separable Hilbert space is a Riesz basis. Further we show that if $n\varepsi
Externí odkaz:
http://arxiv.org/abs/2401.00612
We prove that the polar decomposition of the singular part of a vector measure depends on its conditional expectations computed with respect to the $q$-regular filtration. This dependency is governed by a martingale analog of the so-called wave cone,
Externí odkaz:
http://arxiv.org/abs/2307.11381
We consider weakly null sequences in the Banach space of functions of bounded variation $\mathrm{BV}(\mathbb{R}^d)$. We prove that for any such sequence $\{f_n\}$ the jump parts of the gradients of functions $f_n$ tend to $0$ strongly as measures. It
Externí odkaz:
http://arxiv.org/abs/2307.08396
Using the method of Rudin-Shapiro polynomials we prove the analytic version of the Mitiagin-DeLeeuw-Mirkhil non-inequality for complex partial differential operators with constant coefficients on bi-disc.
Externí odkaz:
http://arxiv.org/abs/2301.09526
Autor:
Ayoush, Rami, Wojciechowski, Michał
In this article we provide lower bounds for the lower Hausdorff dimension of finite measures assuming certain restrictions on their quaternionic spherical harmonics expansion. This estimate is an analog of a result previously obtained by the authors
Externí odkaz:
http://arxiv.org/abs/2211.12927
For the sequence of multi-indexes $\{\alpha_i\}_{i=1}^{m}$ and $\beta$ we study the inequality \[ \|D^{\beta} f\|_{L_1(\mathbb{T}^d)}\leq K_N \sum_{j= 1}^{m} \|D^{\alpha_j}f\|_{L_1(\mathbb{T}^d)}, \] where $f$ is a trigonometric polynomial of degree
Externí odkaz:
http://arxiv.org/abs/2206.13666
We show that any positive Rajchman measure of Minkowski dimension $0$ has a non-natural spectrum as an element of the multiplier algebra of $H^{1}_{0}(\T)$. The proof is based on the estimation of the norm of the convolution operator given by a singu
Externí odkaz:
http://arxiv.org/abs/2206.06958
Publikováno v:
In Journal of Functional Analysis 1 November 2024 287(9)
We give a sufficient (and, in the case of a compact domain, a necessary) condition for the embedding of Sobolev space of functions with integrable gradient into Besov-Orlicz spaces to be bounded. The condition has a form of a simple integral inequali
Externí odkaz:
http://arxiv.org/abs/2110.12480
Publikováno v:
In Journal of Thermal Biology July 2024 123