352 research outputs found
Weighted estimates for multilinear Fourier multipliers
We prove a H\"{o}rmander type multiplier theorem for multilinear Fourier
multipiers with multiple weights. We also give weighted estimates for their
commutators with vector functions
Weak and Strong Type Weighted Estimates for Multilinear Calder\'{o}n-Zygmund Operators
In this paper, we study the weighted estimates for multilinear
Calder\'{o}n-Zygmund operators %with multiple weights from
to , where with and
is a multiple weight. We give weak and strong type weighted
estimates of mixed - type. Moreover, the strong type weighted
estimate is sharp whenever
The sharp weighted bound for multilinear maximal functions and Calder\'{o}n-Zygmund operators
We investigate the weighted bounds for multilinear maximal functions and
Calder\'on-Zygmund operators from to
, where with
and is a multiple weight. We
prove the sharp bound for the multilinear maximal function for all such
and prove the sharp bound for -linear Calder\'on-Zymund
operators when
Convergence of wavelet frame operators as the sampling density tends to infinity
AbstractIn this paper, we study the convergence of wavelet frame operators defined by Riemann sums of inverse wavelet transforms. We show that as the sampling density tends to the infinity, the wavelet frame operator tends to the identity or embedding mapping in various operator norms provided the wavelet function satisfies some smoothness and decay conditions. As a consequence, we also get some spanning results of affine systems
Integrals of Hyperbolic Tangent Function
By means of the contour integration method, we evaluate, in closed form, a
class of definite integrals involving hyperbolic tangent function
- β¦