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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...
On the boundedness of effective potentials arising from string compactifications
the boundedness of effective potentials string compactifications Mathematical Physics
2012/6/30
We study effective potentials coming from compactifications of string theory. We show that, under mild assumptions, such potentials are bounded from below in four dimensions, giving an affirmative ans...
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 ...
On boundedness and convergence of some Banach space valued random series
boundedness convergence some Banach space random series
2009/9/24
On boundedness and convergence of some Banach space valued random series。
We show that the Bernoulli conjecture holds for sets with small one-dimensional projections, i.e. any bounded Bernoulli process indexed by such set may be represented as a sum of a uniformly bounded p...
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.