Found 2,688 Documents (Results 1–100)
On the Berger-Coburn phenomenon. (English) Zbl 07928310
Ptak, Marek (ed.) et al., Operator and matrix theory, function spaces, and applications. Proceedings of the 33rd international workshop on operator theory and its applications, IWOTA 2022, Kraków, Poland, September 6–10, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 295, 223-234 (2024).
Wehrl-type inequalities for Bergman spaces on domains in \(\mathbb{C}^d\) and completely positive maps. (English) Zbl 07924259
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 343-355 (2024).
MSC:
32A25
Dynamical systems of \(p\)-Bergman kernels. (English) Zbl 07924258
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 321-342 (2024).
MSC:
32A25
The \(\overline{\partial}\)-equation on the Hartogs triangles in \(\mathbb{C}^2\) and \({\mathbb{CP}}^2\). (English) Zbl 07924257
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 305-319 (2024).
Bundle-convexity and Kernel asymptotics on a class of locally pseudoconvex domains. (English) Zbl 07924256
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 293-304 (2024).
The asymptotic behavior of the Bergman Kernel on pseudoconvex model domains. (English) Zbl 07924255
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 273-292 (2024).
Semi-classical spectral asymptotics of Toeplitz operators on strictly pseudodonvex domains. (English) Zbl 07924253
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 239-259 (2024).
Unbounded operators on the Segal-Bargmann space. (English) Zbl 07924251
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 189-224 (2024).
Some aspects of the \(p\)-Bergman theory. (English) Zbl 07924248
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 121-140 (2024).
\(M\)-harmonic Szegö kernel on the ball. (English) Zbl 07924247
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 105-120 (2024).
MSC:
32A25
Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity. (English) Zbl 07923288
On the geometry of coherent state maps. (English) Zbl 07919697
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 19-40 (2024).
A direct approach to the analytic Bergman projection. (English. French summary) Zbl 07915642
The weighted Bergman kernels and projections on a class of unbounded Hartogs domains. (English) Zbl 07905793
Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on \((\mathbb{C}\)-)convex domains. (English) Zbl 07900723
The asymptotics of the optimal holomorphic extensions of holomorphic jets along submanifolds. (English. French summary) Zbl 07899472
Composition operators between Bergman spaces on infinite type convex domains in \(\mathbb{C}^2\). (English) Zbl 07893760
Zero problems of the Bergman kernel function on the second type of Cartan-Hartogs domain. (English) Zbl 07893735
Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface. (English) Zbl 07892687
Reviewer: Xiaojun Wu (Nice)
Weak-type regularity for the Bergman projection over \(n\)-dimensional classical Hartogs triangles. (English) Zbl 1540.32002
Weighted estimates of the Bergman projection with matrix weights. (English) Zbl 07861160
Condori, Alberto A. (ed.) et al., Recent progress in function theory and operator theory. AMS special session, virtual, April 6, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 799, 53-73 (2024).
Weighted boundary limits of the Kobayashi-Fuks metric on h-extendible domains. (English) Zbl 07857925
\(L^p\)-estimates of extensions of holomorphic functions defined on a non-reduced subvariety. (Estimations \(L^p\) des extensions de fonctions holomorphes définies sur une sous-variété non réduite.) (English. French summary) Zbl 07852670
Geometric quantization results for semi-positive line bundles on a Riemann surface. (English) Zbl 07827600
Harmonic Bergman spaces on the real hyperbolic ball: atomic decomposition, interpolation and inclusion relations. (English) Zbl 1536.31022
Sobolev regularity of the canonical solutions to \(\bar{\partial}\) on product domains. (English) Zbl 07816889
Reviewer: Dariush Ehsani (Berlin)
The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. (English) Zbl 1537.32001
Springer Proceedings in Mathematics & Statistics 447. Singapore: Springer (ISBN 978-981-99-9505-9/hbk; 978-981-99-9508-0/pbk; 978-981-99-9506-6/ebook). viii, 369 p. (2024).
The asymptotic behavior of Bergman kernels. (English) Zbl 1539.32005
Reviewer: Xiaojun Wu (Nice)
Sobolev mapping of the Bergman projections on generalized Hartogs triangles. (English) Zbl 1537.32074
Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains. (English) Zbl 1532.32017
Regularity of the \(p\)-Bergman kernel. (English) Zbl 1532.32004
MSC:
32A25
Compact Bergman type operators. (English) Zbl 07785405
The Bloch space over the Siegel upper half-space. arXiv:2409.20402
Preprint, arXiv:2409.20402 [math.CV] (2024).
Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate. arXiv:2409.16836
Preprint, arXiv:2409.16836 [math.CV] (2024).
Equivalence of the sharp effectiveness results of strong openness property. arXiv:2408.16372
Preprint, arXiv:2408.16372 [math.CV] (2024).
Global regularity for the \(\bar\partial\)-Neumann problem on pseudoconvex manifolds. arXiv:2408.04512
Preprint, arXiv:2408.04512 [math.CV] (2024).
A transference principle for involution-invariant functional Hilbert spaces. arXiv:2408.04384
Preprint, arXiv:2408.04384 [math.CV] (2024).
Semipositive line bundles on punctured Riemann surfaces: Bergman kernels and random zeros. arXiv:2407.15106
Preprint, arXiv:2407.15106 [math.CV] (2024).
Cauchy transforms and Szegő projections in dual Hardy spaces: inequalities and Möbius invariance. arXiv:2407.13033
Preprint, arXiv:2407.13033 [math.CV] (2024).
Bergman Kernels of the Cheng-Yau metrics on quasi-projective manifolds. arXiv:2407.07483
Preprint, arXiv:2407.07483 [math.DG] (2024).
Bergman spaces and reproducing kernel for the biquaternionic Vekua equation. arXiv:2406.07744
Preprint, arXiv:2406.07744 [math.AP] (2024).
On a higher-dimensional worm domain and its geometric properties. arXiv:2406.04905
Preprint, arXiv:2406.04905 [math.CV] (2024).
Operators in the Fock-Toeplitz algebra. arXiv:2405.20792
Preprint, arXiv:2405.20792 [math.FA] (2024).
The Laplace and Leray transforms on some (weakly) convex domains in \(\mathbb{C}^2\). arXiv:2405.12753
Preprint, arXiv:2405.12753 [math.CV] (2024).
Modified Bergman spaces on the unit ball of \(\mathbb C^n\) and applications. arXiv:2404.13483
Preprint, arXiv:2404.13483 [math.CV] (2024).
Paired and Toeplitz + Hankel operators. arXiv:2404.05435
Preprint, arXiv:2404.05435 [math.FA] (2024).
Bergman spaces for the bicomplex Vekua equation with bounded coefficients. arXiv:2403.03354
Preprint, arXiv:2403.03354 [math.AP] (2024).
A Note on Kernel Functions of Dirichlet Spaces. arXiv:2402.07457
Preprint, arXiv:2402.07457 [math.CV] (2024).
Boundedness of the Bergman projection on some weighted mixed norm Lebesgue spaces of the upper-half space. arXiv:2401.02507
Preprint, arXiv:2401.02507 [math.CA] (2024).
Truncations of random unitary matrices drawn from Hua-Pickrell distribution. (English) Zbl 07918449
Albrecht, Ernst (ed.) et al., Multivariable operator theory. The Jörg Eschmeier memorial volume. Cham: Birkhäuser. 491-514 (2023).
Dilations and operator models of \({\mathcal{W}}\)-hypercontractions. (English) Zbl 07918436
Albrecht, Ernst (ed.) et al., Multivariable operator theory. The Jörg Eschmeier memorial volume. Cham: Birkhäuser. 119-154 (2023).
An explicit estimate of the Bergman kernel for positive line bundles. (Une estimation explicite du noyau de Bergman pour les fibrés de droites positifs.) (English. French summary) Zbl 07915622
MSC:
32A25
Schur’s test, Bergman-type operators and Gleason’s problem on radial-angular mixed spaces. (English) Zbl 1537.45007
Scattering problem of three one-dimensional quantum particles. Case of repulsive Coulomb pair potentials at large distances. (English. Russian original) Zbl 1537.81194
J. Math. Sci., New York 277, No. 4, 533-541 (2023); translation from Zap. Nauchn. Semin. POMI 493, 88-101 (2020).
\(L^p\)-boundedness \((1 \leq p \leq \infty)\) for Bergman projection on a class of convex domains of infinite type in \(\mathbb{C}^2\). (English) Zbl 1532.32005
Hypoelliptic operators in geometry. Abstracts from the workshop held May 21–26, 2023. (English) Zbl 1528.32001
MSC:
00B05
00B25
32-06
58-06
32A25
32V20
35H10
35H20
35K08
35R03
53C17
53C18
58C40
58J20
58J40
58J65
Algebraic Bergman kernels and finite type domains in \(\mathbb{C}^2\). (English) Zbl 1536.32001
Reviewer: Harold P. Boas (College Station)
Capacities, Green function, and Bergman functions. (English) Zbl 1539.31001
Reviewer: Harold P. Boas (College Station)
Semi-classical asymptotics of Bergman and spectral kernels for \((0, q)\)-forms. (English) Zbl 1528.32027
On the positivity of direct image bundles. (English) Zbl 1528.32014
Izv. Math. 87, No. 5, 987-1010 (2023) and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 5, 140-163 (2023).
The boundedness of Forelli-Rudin type operators on the Siegel upper half space. (English) Zbl 1529.47085
Lu Qi-Keng problem and topological properties of zero variety on the Thullen domain. (English) Zbl 1527.32005
MSC:
32A25
Symmetric differentials and jets extension of \(L^2\) holomorphic functions. (English) Zbl 1530.32004
Reviewer: Judith Brinkschulte (Leipzig)
Narasimhan-Simha-type metrics on strongly pseudoconvex domains in \(\mathbb{C}^n\). (English) Zbl 1523.32020
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces. (English) Zbl 1535.46049
Reviewer: Antonio Galbis (València)
\(n\)-best kernel approximation in reproducing kernel Hilbert spaces. (English) Zbl 1528.41078
Reviewer: Haizhang Zhang (Guangzhou)
Atomic decomposition theorem for Hardy spaces on products of Siegel upper half spaces and bi-parameter Hardy spaces. (English) Zbl 1523.32011
On Bergman kernel functions and weak holomorphic Morse inequalities. (English) Zbl 1528.32029
Reviewer: Harold P. Boas (College Station)
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