نتایج جستجو برای: bergman projection

تعداد نتایج: 66216  

1998
Lorenzo Cornalba

Membranes holomorphically embedded in flat noncompact space are constructed in terms of the degrees of freedom of an infinite collection of 0-branes. To each holomorphic curve we associate infinite-dimensional matrices which are static solutions to the matrix theory equations of motion, and which can be interpreted as the matrix theory representation of the holomorphically embedded membrane. Th...

1995
PENG LIN RICHARD ROCHBERG Palle E. T. Jorgensen

^Let ii be a simply connected domain in C1 with the area measure dA . Let Pa be the orthogonal projection from L?(Q.,dA) onto the closed subspace of antiholomorphic functions in L2(Í2, dA). The Friedrichs operator Tçi associated to Í2 is the operator from the Bergman space L*(Q.) into L2(fi, dA) defined by Tnf = Paf. In this note, some smoothness conditions on the boundary of Í2 are given such ...

2008
Asad Naqvi

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane ...

2008
Asad Naqvi

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane ...

2010
KEHE ZHU

Let ii be a bounded symmetric domain in C with normalized 2 volume measure dV . Let P be the orthogonal projection from L (il, dV) 2 2 onto the Bergman space La(Q) of holomorphic functions in L (ii, dV). Let P be the orthogonal projection from L (ii, dV) onto the closed subspace of antiholomorphic functions in L (ii, dV). The "little" Hankel operator h, with symbol / is the operator from La(Ci)...

2003
Jianguo Cao Mei-Chi Shaw Lihe Wang

Let Ω be a pseudoconvex domain with C-smooth boundary in CP. We prove that the ∂̄-Neumann operator N exists for (p, q)-forms on Ω. Furthermore, there exists a t0 > 0 such that the operators N , ∂̄N , ∂̄N and the Bergman projection are regular in the Sobolev space W (Ω̄) for t < t0. The boundary estimates above have applications in complex geometry. We use the estimates to prove the nonexistence of ...

Journal: :Journal of Mathematical Analysis and Applications 2021

By means of Muckenhoupt type conditions, we characterize the weights ω on C such that Bergman projection Fα2,ℓ=H(C)∩L2(C,e−α2|z|2ℓ), α>0, ℓ>1, is bounded Lp(C,e−αp2|z|2ℓω(z)), for 1<p<∞. We also obtain explicit representation integral formulas functions in weighted spaces Ap(ω)=H(C)∩Lp(ω). Finally, check validity so called Sarason conjecture about boundedness products certain Toeplitz operators...

2008
Asad Naqvi

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane ...

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