Zobrazeno 1 - 10 of 12 pro vyhledávání: '"Maciej Paluszynski"'
1
Dimension Independent Atomic Decomposition for Dyadic Martingale $$ \pmb {{\mathbb {H}}}^{1}$$
Autor: Maciej Paluszynski, Jacek Zienkiewicz
Publikováno v: Journal of Fourier Analysis and Applications. 28
We introduce atoms for dyadic atomic $${\mathbb {H}}^1$$ H 1 for which the equivalence between the atomic and maximal function definitions is dimension independent. We give sharp, up to $$\log (d)$$ log ( d ) factor, estimates for the $${{\mathbb {H}
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b4c766574c418af8f728d26c1f2120ae
https://doi.org/10.1007/s00041-022-09957-z
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2
A Remark on Atomic Decompositions of Martingale Hardy’s Spaces
Autor: Maciej Paluszynski, Jacek Zienkiewicz
Publikováno v: The Journal of Geometric Analysis. 31:8866-8878
We prove theorems and exhibit a counterexample concerning an atomic decomposition of martingale $${{\mathbb {H}}^1}$$ H 1 with atoms satisfying simultaneous cancellation condition (3).
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::23e8aaf6ff58a0f4967d54f31c812f18
https://doi.org/10.1007/s12220-020-00449-4
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4
On Inverses of Discrete Rough Hilbert Transforms
Autor: Maciej Paluszynski, Jacek Zienkiewicz
We describe the structure of the resolvent of the discrete rough truncated Hilbert transform under the critical exponent. This extends the results obtained in [8].
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b3fd15db0024dd2bfa62df215a2af14
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5
On the phi and psi transforms of Frazier and Jawerth
Autor: Maciej Paluszynski, H.-Q. Bui
Publikováno v: Mathematische Nachrichten. 284:186-198
In this article we study the phi and psi transforms of Frazier and Jawerth when either phi or psi is not band-limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2f5065abcc6169a25c70fc73912c9819
https://doi.org/10.1002/mana.200810014
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7
On quasi-metric and metric spaces
Autor: Krzysztof Stempak, Maciej Paluszynski
Publikováno v: Proceedings of the American Mathematical Society. 137:4307-4312
Given a space X X with a quasi-metric ρ \rho it is known that the so-called p p -chain approach can be used to produce a metric in X X equivalent to ρ p \rho ^p for some 0 > p ≤ 1 0>p\le 1 , hence also a quasi-metric ρ ~ \tilde {\rho } equivalen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9cf0f593846e8b553ac12ff8d6db1701
https://doi.org/10.1090/s0002-9939-09-10058-8
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8
Generalized low pass filters and MRA frame wavelets
Autor: Maciej Paluszynski, Hrvoje Šikić, Shaoliang Xiao, Guido Weiss
Publikováno v: Journal of Geometric Analysis. 11:311-342
A tight frame wavelet ψ is an L 2(ℝ) function such that {ψ jk(x)} = {2j/2 ψ(2 j x −k), j, k ∈ ℤ},is a tight frame for L 2 (ℝ).We introduce a class of “generalized low pass filters” that allows us to define (and construct) the subclas
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0edec06c95e85791bc0ba7603b515d4e
https://doi.org/10.1007/bf02921969
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10
Akademický článek
On quasi-metric and metric spaces.
Autor: Maciej Paluszynski, Krzysztof Stempak
Publikováno v: Proceedings of the American Mathematical Society; Jul2009, Vol. 137 Issue 12, p4307-4312, 6p
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