{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T06:45:38Z","timestamp":1762325138423,"version":"3.41.2"},"reference-count":36,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"Scientific Research at King Saud University","award":["RG-1435-063"],"award-info":[{"award-number":["RG-1435-063"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> In this paper, we first establish a general lower bound for the multivariate wavelet leaders R\u00e9nyi dimension valid for any pair [Formula: see text] of functions on [Formula: see text] where [Formula: see text] belongs to the Besov space [Formula: see text] with [Formula: see text] and [Formula: see text] belongs to [Formula: see text] with [Formula: see text]. We then prove the optimality of this result for quasi all pairs [Formula: see text] in the Baire generic sense. Finally, we compute both iso-mixed and upper-multivariate H\u00f6lder spectra for all pairs [Formula: see text] in the same [Formula: see text]-set. This allows to prove (respectively, study) the Baire generic validity of the upper-multivariate (respectively, iso-multivariate) multifractal formalism based on wavelet leaders for such pairs. <\/jats:p>","DOI":"10.1142\/s0219691321500478","type":"journal-article","created":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T09:06:37Z","timestamp":1635411997000},"source":"Crossref","is-referenced-by-count":2,"title":["Multivariate wavelet leaders R\u00e9nyi dimension and multifractal formalism in mixed Besov spaces"],"prefix":"10.1142","volume":"20","author":[{"given":"Moez","family":"Ben Abid","sequence":"first","affiliation":[{"name":"Ecole Sup\u00e9rieure des Sciences et Technologie de Hammam Sousse, Universit\u00e9 de Sousse, Sousse 4011, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mourad","family":"Ben Slimane","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, P. O. 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