Fourier transform estimates for via from above and from below are studied. For , equivalence results, i.e.,
are shown to be valid for functions from certain classes under the Muckenhoupt conditions: or . Sharpness of these conditions is proved.
@article{ASNSP_2012_5_11_2_341_0, author = {Liflyand, Elijah and Tikhonov, Sergey}, title = {Two-sided weighted {Fourier} inequalities}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {341--362}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 11}, number = {2}, year = {2012}, mrnumber = {3011994}, zbl = {1278.42006}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2012_5_11_2_341_0/} }
TY - JOUR AU - Liflyand, Elijah AU - Tikhonov, Sergey TI - Two-sided weighted Fourier inequalities JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2012 SP - 341 EP - 362 VL - 11 IS - 2 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2012_5_11_2_341_0/ LA - en ID - ASNSP_2012_5_11_2_341_0 ER -
%0 Journal Article %A Liflyand, Elijah %A Tikhonov, Sergey %T Two-sided weighted Fourier inequalities %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2012 %P 341-362 %V 11 %N 2 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2012_5_11_2_341_0/ %G en %F ASNSP_2012_5_11_2_341_0
Liflyand, Elijah; Tikhonov, Sergey. Two-sided weighted Fourier inequalities. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 2, pp. 341-362. http://www.numdam.org/item/ASNSP_2012_5_11_2_341_0/
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