Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Mozolyako, P."'
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 657-714
We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main scope is to survey known characterizations (and proofs) for trace measures, as well as to provide some new ones. Also for some of the known characteri
Externí odkaz:
http://arxiv.org/abs/2110.05450
Autor:
Mozolyako, Pavel, Volberg, Alexander
In this note we give several counterexamples. One shows that small energy majorization on bi-tree fails. The second counterexample shows that partial energy estimate always valid on a usual tree by a trivial reason (and with constant $C=1$) cannot be
Externí odkaz:
http://arxiv.org/abs/2109.00021
This note contains a plethora of counterexamples to attempts to generalize the results of bi-parameter embedding from $p=2$ case to either $p>2$ or $p<2$. This is in striking difference to $p=2$ case that was fully understood in the series of papers
Externí odkaz:
http://arxiv.org/abs/2108.04789
Logarithmic potentials and many other potentials satisfy maximum principle. The dyadic version of logarithmic potential can be easily introduced, it lives on dyadic tree and also satisfies maximum principle. But its analog on bi-tree does not have th
Externí odkaz:
http://arxiv.org/abs/2101.01094
We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in bi-disc and tri-disc this proves the embedding theorem of those Dirichlet spaces of holomorphic functio
Externí odkaz:
http://arxiv.org/abs/2001.02373
Publikováno v:
Discrete Analysis (2023)
Bi-parameter potential theory and Carleson measures for the Dirichlet space on the bidisc, Discrete Analysis 2023:22, 58 pp. Carleson measures arise naturally when considering harmonic or holomorphic extensions from the boundary of a domain to the i
Externí odkaz:
https://doaj.org/article/cae225111c8a49919a855122d86d806f
We build here several counterexamples for two weight bi-parameter Carleson embedding theorem.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1906.11145
Autor:
Arcozzi, Nicola, Mozolyako, Pavel, Psaromiligkos, Georgios, Volberg, Alexander, Zorin-Kranich, Pavel
Coifman--Meyer multipliers represent a very important class of bi-linear singular operators, which were extensively studied and generalized. They have a natural multi-parameter counterpart. Decomposition of those operators into paraproducts, and, mor
Externí odkaz:
http://arxiv.org/abs/1906.11150
Autor:
Mozolyako, Pavel, Nicolau, Artur
We study the size of the set of points where the $\alpha$-divided difference of a function in the H\"older class $\Lambda_\alpha$ is bounded below by a fixed positive constant. Our results are obtained from their discrete analogues which can be state
Externí odkaz:
http://arxiv.org/abs/1905.04911
Publikováno v:
Discrete Analysis (2023)
We characterize the Carleson measures for the Dirichlet space on the bidisc, hence also its multiplier space. Following Maz'ya and Stegenga, the characterization is given in terms of a capacitary condition. We develop the foundations of a bi-paramete
Externí odkaz:
http://arxiv.org/abs/1811.04990