Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
Pavel Šoltés (1973)
Annales Polonici Mathematici
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Pavel Šoltés (1973)
Annales Polonici Mathematici
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Junji Kato (1990)
Annales Polonici Mathematici
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Makoto Ohtsuka (1983)
Annales Polonici Mathematici
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Jean-Lin Journé (1985)
Revista Matemática Iberoamericana
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Loukas Grafakos, Rodolfo H. Torres (2002)
Publicacions Matemàtiques
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A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators....
Yong Sheng Han (1994)
Revista Matemática Iberoamericana
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In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.
Robert Fefferman (1986)
Revista Matemática Iberoamericana
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Clearly, one of the most basic contributions to the fields of real variables, partial differential equations and Fourier analysis in recent times has been the celebrated theorem of Calderón and Zygmund on the boundedness of singular integrals on R [1].
E. Pap (1976)
Matematički Vesnik
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Yongsheng Han, Eric T. Sawyer (1990)
Revista Matemática Iberoamericana
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G. David, J.-L. Journé and S. Semmes have shown that if b and b are para-accretive functions on R, then the Tb theorem holds: A linear operator T with Calderón-Zygmund kernel is bounded on L if and only if Tb ∈ BMO, T*b ∈ BMO and MTM has the weak boundedness property. Conversely they showed that when b = b = b, para-accretivity of b is necessary for Tb Theorem to hold. In this paper we show that para-accretivity of both b and b is necessary for the Tb Theorem to hold in general. In addition,...
Loukas Grafakos, Liguang Liu, Diego Maldonado, Dachun Yang
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The multilinear Calderón-Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a reverse doubling condition. The multiple-weight multilinear Calderón-Zygmund theory in this context is also developed in this work. The bilinear T1-theorems for Besov and Triebel-Lizorkin spaces in the full range of exponents are among the main results obtained. Multilinear vector-valued T1 type theorems on Lebesgue spaces, Besov spaces,...
Liu, Lanzhe (2003)
Lobachevskii Journal of Mathematics
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