Results 11 to 20 of about 663,433 (237)

Bergman Projection on the Symmetrized Bidisk [PDF]

The Journal of Geometric Analysis, 2020
We apply the Bekollé–Bonami estimate for the (positive) Bergman projection on the weighted $$L^p$$ L p spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized ...
Liwei Chen, M. Jin, Yuan Yuan
semanticscholar   +3 more sources

Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles

Journal of Inequalities and Applications
In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and
Yi Li, Mengjiao Wang
doaj   +2 more sources

Bergman Projection on Lebesgue Space Induced by Doubling Weight [PDF]

Results in Mathematics, 2023
Let ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega $$\end ...
José Ángel Peláez, Elena de la Rosa, J. Rättyä   +2 more
semanticscholar   +6 more sources

$L^p$ -regularity of the Bergman projection on quotient domains [PDF]

Canadian Journal of Mathematics, 2020
We obtain sharp ranges of $L^p$ -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains.
Chase Bender, Debraj Chakrabarti, L. Edholm, Meera Mainkar   +3 more
semanticscholar   +6 more sources

H-Harmonic Bergman Projection on the Real Hyperbolic Ball [PDF]

Journal of Mathematical Analysis and Applications, 2022
We determine precisely when the Bergman projection $P_\beta$ is bound\-ed from Lebesgue spaces $L^p_\alpha$ to weighted Bergman spaces $\mathcal B^p_\alpha$ of $\mathcal H$-harmonic functions on the hyperbolic ball, and verify a recent conjecture of M ...
A. E. Üreyen
semanticscholar   +2 more sources

$L^p$ regularity of the Bergman projection on the symmetrized polydisc [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023
We study the $L^p$ regularity of the Bergman projection P over the symmetrized polydisc in $\mathbb C^n$ . We give a decomposition of the Bergman projection on the polydisc and obtain an operator equivalent to the Bergman projection over ...
Zhenghui Huo, B. Wick
semanticscholar   +1 more source

Bergman projection and BMO in hyperbolic metric: improvement of classical result [PDF]

Mathematische Zeitschrift, 2022
The Bergman projection $$P_\alpha $$ P α , induced by a standard radial weight, is bounded and onto from $$L^\infty $$ L ∞ to the Bloch space $$\mathcal {B}$$ B . However, $$P_\alpha : L^\infty \rightarrow \mathcal {B}$$ P α : L ∞ → B is not a projection.
José Ángel Peláez, J. Rättyä
semanticscholar   +1 more source

The Commutator of the Bergman Projection on Strongly Pseudoconvex Domains with Minimal Smoothness [PDF]

Journal of Functional Analysis, 2022
Consider a bounded, strongly pseudoconvex domain $D\subset \mathbb C^n$ with minimal smoothness (namely, the class $C^2$) and let $b$ be a locally integrable function on $D$.
Bingyang Hu, Zhenghui Huo, Loredana Lanzani, Kevin Palencia, Nathan A. Wagner   +4 more
semanticscholar   +1 more source

Irregularity of the Bergman Projection on Smooth Unbounded Worm Domains [PDF]

Mediterranean Journal of Mathematics, 2022
In this work, we consider smooth unbounded worm domains $${\mathcal {Z}}_\lambda $$ Z λ in $${\mathbb {C}}^2$$ C 2 and show that the Bergman projection, densely defined on the Sobolev spaces $$H^{s,p}({\mathcal {Z}}_\lambda ),$$ H s , p ( Z λ ) , $$p\in (
S. Krantz, A. Monguzzi, M. Peloso, C. Stoppato   +3 more
semanticscholar   +1 more source

Norm of the Bergman Projection [PDF]

MATHEMATICA SCANDINAVICA, 2014
This paper deals with the the norm of the weighted Bergman projection operator $P_{\alpha}:L^\infty(B)\rightarrow\mathscr{B}$ where $\alpha > - 1$ and $\mathscr{B}$ is the Bloch space of the unit ball $B$ of the $\mathsf{C}^n$. We consider two Bloch norms, the standard Bloch norm and invariant norm w.r.t. automorphisms of the unit ball.
Kalaj, David, Markovic, Marijan
openaire   +2 more sources