3 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
Factoring the Sobolev embedding operator
Krystian Kazaniecki, Aleksander Pawlewicz, Michał Wojciechowski
The paper studies the factorization and summing properties of the Sobolev embedding operator. We propose two different approaches. One shows that the Sobolev embedding operator $S:…
A note on Fourier multipliers on the product Hardy spaces
Aleksander Pawlewicz
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}\ti…
Measures Determined by the Restriction of Convolution Powers to the Proper Concave Cone
Aleksander Pawlewicz
Let and be two non-degenerate finite signed Borel measures defined on a proper convex cone of . We prove that if all convolution powers of and are app…
On the Embedding of Space into Besov-Orlicz Space
Aleksander Pawlewicz, Michał Wojciechowski
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…
Marcinkiewicz Sampling Theorem for Orlicz Spaces
Aleksander Pawlewicz, Michał Wojciechowski
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 s…