A Fourier inequality with A and weak-L weight.
H. P. Heinig (1993)
Collectanea Mathematica
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The object of this note is to generalize some Fourier inequalities.
H. P. Heinig (1993)
Collectanea Mathematica
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The object of this note is to generalize some Fourier inequalities.
Pérez Riera, Mario (2002)
Journal of Inequalities and Applications [electronic only]
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Yadav, Sarjoo Prasad (2004)
International Journal of Mathematics and Mathematical Sciences
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E. Sawyer (1985)
Studia Mathematica
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H. P. Heinig (1989)
Banach Center Publications
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Prabhakar Raghunath Khandekar (1963)
Rendiconti del Seminario Matematico della Università di Padova
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Marčoková, Mariana, Guldan, Vladimír
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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
Enrico Laeng (1991)
Revista Matemática Iberoamericana
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Javier Duoandikoetxea, Adela Moyua (1992)
Studia Mathematica
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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.
W. Jurkat, G. Sampson (1987)
Studia Mathematica
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Muhammed Ali Alan (2010)
Annales Polonici Mathematici
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Weighted pluripotential theory is a rapidly developing area; and Callaghan [Ann. Polon. Math. 90 (2007)] recently introduced θ-incomplete polynomials in ℂ for n>1. In this paper we combine these two theories by defining weighted θ-incomplete pluripotential theory. We define weighted θ-incomplete extremal functions and obtain a Siciak-Zahariuta type equality in terms of θ-incomplete polynomials. Finally we prove that the extremal functions can be recovered using orthonormal polynomials...