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2017 Workshop on Stability,Boundedness and Fano Varieties
2017 Workshop Stability,Boundedness and Fano Varieties
2017/3/28
The research on Fano variety is always a central topic in mathematics. In the recent years, there has been vast progress in the the problems on boundedness,stability and moduli space.The primary goal ...
BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
Endpoint Boundedness of Riesz Transforms on Hardy Spaces Associated with Operators
Riesz transform Davies-Gaffney estimate Schrodinger operator second order elliptic operator Hardy space
2011/9/21
Abstract: Let $L_1$ be a nonnegative self-adjoint operator in $L^2({\mathbb R}^n)$ satisfying the Davies-Gaffney estimates and $L_2$ a second order divergence form elliptic operator with complex bound...
A subset A of ℜ, the set of real numbers, is bounded if |a| ≤ M for all a ∈ A where M is a positive real constant number. This is equivalent to the statement that any sequence of points in A has...
$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
nonlinear conservation laws boundary conditions
2010/11/18
We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estim...
$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach
Sobolev boundedness pseudodifferential operators non-regular symbol
2010/11/11
In this paper we investigate $L^p$ and Sobolev boundedness of a certain class of pseudodifferential operators with non-regular symbols. We employ regularisation methods, namely convolution with a net ...
Boundedness of Calderón-Zygmund Operators on Non-homogeneous Metric Measure Spaces
Calderón-Zygmund Operators Non-homogeneous Metric Measure Spaces
2010/11/19
Let $({\mathcal X}, d, \mu)$ be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition and the non-atomic condition that $\mu(\{x\})=0$ for ...
Composition and $L^2$-boundedness of flag kernels
Singular integrals flag kernels symbolic calculus homogeneous groups Fourier transform
2010/12/8
We prove the composition and L2-boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.
Hardy spaces, Regularized BMO and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
non-homogeneous spaces Hardy spaces BMO Calder´ on - Zygmund operator
2010/12/1
One defines a non-homogeneous space (X, μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form rn for some n ...
Different Approaches to the Hp Boundedness of Riesz Transforms
Atomic decomposition Hardy spaces molecular characterization Riesz transforms
2008/11/25
We give different approaches to show the Hp boundedness of Riesz transforms for
0 < p ≤ 1.
Boundedness of Solutions of a Third-Order Nonlinear Differential Equation
Differential equations of third order Boundedness
2008/7/2
Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives ...
Boundedness of the Wavelet Transform in Certain Function Spaces
Continuous wavelet transform Distributions Sobolev space Besov space Lizorkin-Triebel space
2008/7/2
Boundedness of the Wavelet Transform in Certain Function Spaces.
New Result in the Ultimate Boundedness of Solutions of a Third-Order Nonlinear Ordinary Differential Equation
Differential equations of third order Boundedness
2008/6/30
Sufficient conditions are established for the ultimate boundedness of solutions of certain third-order nonlinear differential equations. Our result improves on Tunc's [C. Tunc, Boundedness of solution...
On the $L^p$ Boundedness of Rough Parametric Marcinkiewicz Functions
Parametric Marcinkiewicz operators rough kernels Fourier transforms Parametric maximal functions
2008/6/27
On the $L^p$ Boundedness of Rough Parametric Marcinkiewicz Functions.
Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures
maximal commutator Calder\'on--Zygmund operator ${\rm RBMO}(\mu)$ Hardy-type space non-doubling measure
2007/12/12
Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of...