A weighted sieve of Greaves' type I
H. Halberstam, H.-E. Richert (1985)
Banach Center Publications
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H. Halberstam, H.-E. Richert (1985)
Banach Center Publications
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G. Greaves (1985)
Banach Center Publications
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H. Halberstam, H.-E. Richert (1985)
Banach Center Publications
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Jan Büthe (2014)
Acta Arithmetica
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We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.
B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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D. Georgijevic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Hakan Ali-John Seyalioglu (2009)
Acta Arithmetica
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Robert J. Lemke Oliver (2012)
Acta Arithmetica
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Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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Henryk Iwaniec (1980)
Acta Arithmetica
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Geraldo Soares De Souza (1990)
Colloquium Mathematicae
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Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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İlker Eryilmaz (2012)
Colloquium Mathematicae
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The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p,q,wdμ) for 1 < p ≤ ∞, 1 ≤ q ≤ ∞ are characterized.
Elke Wolf (2012)
Annales UMCS, Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Hongze Li (2003)
Acta Arithmetica
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Elke Wolf (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Antonio Avantaggiati, Paola Loreti (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].