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On a proof of a conjecture of Marino-Vafa on Hodge integrals
a proof of a conjecture Marino-Vafa Hodge integrals
2018/4/20
We outline a proof of a remarkable formula for Hodge integrals conjectured by Mari˜no and Vafa based on large N duality.
Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
Oscillatory singular integrals Rough kernels Maximal functions
2010/2/26
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the Lp boundedness of our operators provided that their kernels be...
Formula is motivated by a formula of one-partition Hodge integrals conjectured by M. Mari˜no and C. Vafa in and proved by us in . See for another approach to the Mari˜no-Vafa formula. The Ma...
On A Certain Class of Bessel Integrals
Bessel Functions Infinite Integrals Integral Representations
2010/2/26
There are many old results of integrals involving Bessel functions, currently available in handbooks, but we found no recourse in the well-known references to how they were established. In this paper,...
On Marcinkiewicz Integrals along flat surfaces
Marcinkiewicz integral rough kernels flat curves Fourier transform area integral Littlewood-Paley gl* functions
2010/2/26
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an Lp boundedness resu...
Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains
Singular integrals product domains rough kernels Block spaces
2010/2/26
We establish the Lp boundedness of singular integrals on product domains with rough kernels in L(log L)2 and are supported by subvarieties.
Flat Marcinkiewicz Integral Operators
Marcinkiewicz Integral rough kernel flat curves Fourier transform
2010/3/1
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces of revolutions. We prove that our operators are bounded on Lp under certain convexity assumptions on o...
New Tensor Norms and Operator Ideals Associated to Interpolation Spaces Between Sequence Spaces
Tensor norms operator ideals lr-nuclear and lr-integral operators
2010/3/1
We introduce a wide class of tensor norms gl,r which are defined with the help of interpolation spaces between perfect sequence spaces defined by a general parameter real interpolation method. We also...
Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels
Singular integrals oscillatory integrals Fourier transform Lp boundedness rough kernels block spaces
2010/3/1
In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'}...
A Perturbed Version of the Ostrowski Inequality for Twice Differentiable Mappings
Ostrowski Integral Inequality Quadrature Formulae
2010/3/1
A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applicati...
On Non-Homogeneous Riemann Boundary Value Problem
Curve Cauchy type integral singular integral Riemann problem
2010/3/1
In this paper we consider non-homogeneous Riemann boundary value problem with unbounded oscillating coefficients on a class of open rectifiable Jordan curve.
An Improper Integral Representation of Linnik's Probability Densities
Improper Integral Representation Probability Densities
2010/3/4
A representation of Linnik's Probability Densities by a contour integral distinct than the one given in [2] is obtained. An Improper integral representation of the same density functions is derived. A...