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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 ...
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,ASYMPTOTIC BEHAVIOR AND OSCILLATORY PROPERTIES FOR THE MODELS OF SINGLE-SPECIES POPULATION GROWTH WITH IMPULSIVE EFFECT
Impulse differential equations
2007/12/11
In this paper, we obtain the boundedness, asymptotic behavior and oscillatory properties for the single logistic models with impulse effect. Some examples are given to indicate the application of our ...
Boundedness of Nonlinear Differential Systems with Impulsive Effect on Random Moments
Impulsive differential system $p-$moment boundedness ultimate boundedness Liapunov function
2007/12/11
The model of nonlinear differential systems withimpulsive effect on random moments is brought forward in thispaper. Then, sufficient conditions for (uniform, uniform andultimate, and uniform and unif...
On Stability and Trajectory Boundedness in Mean-square Sense for ARMA Processes
ARMA stability boundedness in MSS equivalence
2007/12/10
For the multidimensional ARMA system A(z)y k = C(z)w k it is shown that stability (det A(z) ≠ 0, ?z : |z| ≤ 1) of A(z) is equivalent to the trajectory boundedness in the mean square sense (MSS) lim su...