ℱ-singular and G-cosingular operators
Joe Howard (1970)
Colloquium Mathematicae
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Joe Howard (1970)
Colloquium Mathematicae
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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....
Xuan Thinh Duong, Alan McIntosh (1999)
Revista Matemática Iberoamericana
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Let χ be a space of homogeneous type. The aims of this paper are as follows. i) Assuming that T is a bounded linear operator on L2(χ), we give a sufficient condition on the kernel of T such that T is of weak type (1,1), hence bounded on Lp(χ) for 1 < p ≤ 2; our condition is weaker then the usual Hörmander integral condition. ii) Assuming that T is a bounded linear operator on L2(Ω) where Ω is a...
Ewa Ligocka (2002)
Colloquium Mathematicae
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We recall an old result of B. Dittmar. This result permits us to obtain an existence theorem for the Beltrami equation and some other results as a direct consequence of Moser's classical estimates for elliptic operators.
H.-G. Leopold (1989)
Banach Center Publications
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Bonfiglioli, Andrea, Lanconelli, Ermanno, Uguzzoni, Francesco (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Josefina Alvarez, Mario Milman (1986)
Revista Matemática Iberoamericana
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In this article we consider a theory of vector valued strongly singular operators. Our results include Lp, Hp and BMO continuity results. Moreover, as is well known, vector valued estimates are closely related to weighted norm inequalities. These results are developed in the first four sections of our paper. In section 5 we use our vector valued singular integrals to estimate the corresponding maximal operators. Finally in section 6 we discuss...
M. A. Shubin (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Árpád Bényi, Nikolaos Tzirakis (2004)
Studia Mathematica
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We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.
Ian Knowles (1977)
Mathematische Annalen
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Michael Neumann, Vlastimil Pták (1985)
Studia Mathematica
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Richard Beals (1979)
Annales de l'institut Fourier
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Continuity in spaces and spaces of Hölder type is proved for pseudodifferential operators of order zero, under general conditions on the class of symbols. Applications to the regularity theory of some hypoelliptic operators are outlined.
Josefina Alvarez, Richard Bagby, Douglas Kurtz, Carlos Pérez (1993)
Studia Mathematica
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We study boundedness properties of commutators of general linear operators with real-valued BMO functions on weighted spaces. We then derive applications to particular important operators, such as Calderón-Zygmund type operators, pseudo-differential operators, multipliers, rough singular integrals and maximal type operators.