Weighted Sobolev-Lieb-Thirring inequalities

We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use '-transform of Frazier-Jawerth

Wavelet characterizations of weighted Herz spaces

We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙Kα,p q (w1,w2) and in Kα,p q (w1,w2)

Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with A^loc_p-weights

The aim of this paper is to obtain the wavelet expansion in the Besov spaces and the Triebel-Lizorkin spaces coming with Aloc p -weights. After characterizing these spaces in terms of wavelet, we shall obtain unconditional bases and greedy bases

Weighted L^p Sobolev-Lieb-Thirring inequalities

We give a weighted L^p version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions

Wavelet characterizations of weighted Herz spaces

We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙Kα,p q (w1,w2) and in Kα,p q (w1,w2)