On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces.
Stepanov, V.D., Ushakova, E.P. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “On Volterra type singular integral equations.”
On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces.
Characterization of the boundedness for a family of commutators on
Song Li (1996)
Colloquium Mathematicae
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Exponential analysis of solutions of functional differential equations with unbounded terms.
Raffoul, Youssef N. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Integral equations of convolution type with power nonlinearity
S. Askhabov (1991)
Colloquium Mathematicae
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Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel
Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek (2012)
Annales UMCS, Mathematica
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In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.
On the existence of singular solutions.
Bartušek, M., Osička, J. (2001)
Georgian Mathematical Journal
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Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Meskhi, A. (1998)
Georgian Mathematical Journal
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On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.
Kokilashvili, V., Meskhi, A. (2001)
Georgian Mathematical Journal
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On singular solutions of a second order differential equation.
Bartušek, Miroslav (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Special operators on classical spaces of analytic functions.
Hans Jarchow (2004)
Extracta Mathematicae
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The proof of the Nirenberg-Treves conjecture
Nils Dencker (2003)
Journées équations aux dérivées partielles
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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition (). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...