Geodesic
Minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 10, Tome 207 (1993), pp. 126-136

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The paper is close to the investigations of M. Ermakov [2] and Yu. Ingster [3]. On the basis of the latter, the case $q>p$, $p\in[0,2]$, is considered in detail. Bibliography: 4 titles. 
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     author = {I. A. Suslina},
     title = {Minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {126--136},
     publisher = {mathdoc},
     volume = {207},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_207_a10/}
}
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I. A. Suslina. Minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 10, Tome 207 (1993), pp. 126-136. http://geodesic.mathdoc.fr/item/ZNSL_1993_207_a10/