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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...
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...
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...
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 ...
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 ...
We prove the composition and L2-boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.
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 ...
We give different approaches to show the Hp boundedness of Riesz transforms for 0 < p ≤ 1.
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 ...
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...
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...
To guarantee every real-valued convex function bounded above on a set is continuous, how ''thick'' should the set be? For a symmetric set $\mathbf{A}$ in a Banach space $E$, the answer of this paper i...

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