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pro vyhledávání: '"Pawlewicz, Aleksander"'
Autor:
Pawlewicz, Aleksander
In this article, we present some results about Fourier multipliers on Hardy spaces in the product case. We mainly give descriptions of multipliers from the space $H^1(\mathbb{T}\times\mathbb{T})$ into the space $\ell^2$ and from the space $H^1(\mathb
Externí odkaz:
http://arxiv.org/abs/2206.04931
Autor:
Pawlewicz, Aleksander
Let $\mu$ and $\nu$ be two non-degenerate finite signed Borel measures defined on a proper convex cone of $\mathbb{R}^n$. We prove that if all convolution powers of $\mu$ and $\nu$ are appropriately equal (and non-zero) on a proper concave cone of $\
Externí odkaz:
http://arxiv.org/abs/2202.08129
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:
Positivity volume 26, issue 3, July 2022, article 56
In the article we generalize the Marcinkiewicz sampling theorem in the context of Orlicz spaces. We establish conditions under which sampling theorem holds in terms of restricted submultiplicativity and supermultiplicativity of an $N$-function $\varp
Externí odkaz:
http://arxiv.org/abs/2109.02368
Publikováno v:
In Journal of Functional Analysis 1 January 2023 284(1)
Autor:
Pawlewicz, Aleksander1 (AUTHOR) a.pawlewicz@mimuw.edu.pl, Wojciechowski, Michał2 (AUTHOR)
Publikováno v:
Positivity. Jul2022, Vol. 26 Issue 3, p1-23. 23p.