Results 161 to 166 of about 3,996 (166)

The Kontorovich - Lebedev Transformation on Sobolev Type Spaces

Sarajevo Journal of Mathematics
The Kontorovich-Lebedev transformation $$(KLf)(x)=\int_0^\inftyK_{i\tau}(x)f(\tau)d\tau, \;\, x \in {\mathbf R}_+$$ is consideredas an operator, which maps the weighted space $L_p(\mathbf R_+;$$\omega(\tau)d\tau), \;\, 2 \le p \le \infty$ into the ...
S. Yakubovich
semanticscholar   +1 more source

Maximal functions measuring smoothness

, 1984
Maximal functions which measure the smoothness of a function are intro" duced and studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorems and various results on ...
R. DeVore, R. Sharpley
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$\left( L^{p} ,L^{q} \right)$ Properties of the Potential-Type Integrals Associated to Non-doubling Measures

Sarajevo Journal of Mathematics
The $\left( L^{p} ,L^{q} \right) $ boundedness of the potential-type integrals associated to non-doubling measures are investigated.   1991 Mathematics Subject Classification.
M. G. Hajibayov
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Gagliardo–Nirenberg Inequalities with a BMO Term

, 2006
We give a simple direct proof of the interpolation inequality ‖∇f‖L2p2⩽C‖f‖BMO‖f‖W2,p , where 1 < p < ∞. For p = 2 this inequality was obtained by Meyer and Rivière via a different method, and it was applied to prove a regularity theorem for a class of ...
Pawel Strzelecki
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On Function Spaces of Variable Order of Differentiation

, 1991
The paper is concerned with function spaces of Sobolev type and of Besov type of variable order of differentiation. The definition and the study of these spaces is closely connected with an appropriate class of pseudodifferential operators.
Hans-Gerd Leopold
semanticscholar   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by the q-Dunkl operator

International Journal of Mathematical Analysis, 2019
On this paper, we study the equivalence between K-functionals and modulus of smoothness tied to a q-Dunkl operator.
S. Rebhi
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